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3795313536 = 273371923359
BaseRepresentation
bin1110001000110111…
…1110001110000000
3100210111112220102000
43202031332032000
530233100013121
61424334424000
7163023430020
oct34215761600
910714486360
103795313536
1116783a0263
1289b062000
134863b6271
142800b1a80
151732e2526
hexe237e380

3795313536 has 512 divisors, whose sum is σ = 14100480000. Its totient is φ = 979900416.

The previous prime is 3795313531. The next prime is 3795313583. The reversal of 3795313536 is 6353135973.

It is a junction number, because it is equal to n+sod(n) for n = 3795313491 and 3795313500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3795313531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10571725 + ... + 10572083.

It is an arithmetic number, because the mean of its divisors is an integer number (27540000).

Almost surely, 23795313536 is an apocalyptic number.

3795313536 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 3795313536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050240000).

3795313536 is an abundant number, since it is smaller than the sum of its proper divisors (10305166464).

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

3795313536 is a wasteful number, since it uses less digits than its factorization.

3795313536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 413 counting only the distinct ones).

The product of its digits is 765450, while the sum is 45.

The square root of 3795313536 is about 61606.1160600147. The cubic root of 3795313536 is about 1559.8489794633.

The spelling of 3795313536 in words is "three billion, seven hundred ninety-five million, three hundred thirteen thousand, five hundred thirty-six".