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3821345136 = 2432717269829
BaseRepresentation
bin1110001111000101…
…0001100101110000
3100212022112110001100
43203301101211300
530311231021021
61431104404400
7163460616630
oct34361214560
910768473040
103821345136
111691060184
128a7916700
1348b8cbb8b
1428372a6c0
15175735626
hexe3c51970

3821345136 has 240 divisors, whose sum is σ = 13004971200. Its totient is φ = 1022533632.

The previous prime is 3821345131. The next prime is 3821345141. The reversal of 3821345136 is 6315431283.

3821345136 is a `hidden beast` number, since 3 + 8 + 2 + 134 + 513 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3821345131) and next prime (3821345141).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3821345136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3821345131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4609170 + ... + 4609998.

It is an arithmetic number, because the mean of its divisors is an integer number (54187380).

Almost surely, 23821345136 is an apocalyptic number.

3821345136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3821345136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6502485600).

3821345136 is an abundant number, since it is smaller than the sum of its proper divisors (9183626064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3821345136 is a wasteful number, since it uses less digits than its factorization.

3821345136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1127 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3821345136 is about 61817.0294983510. The cubic root of 3821345136 is about 1563.4071291546.

The spelling of 3821345136 in words is "three billion, eight hundred twenty-one million, three hundred forty-five thousand, one hundred thirty-six".