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3683909376 = 28337273149
BaseRepresentation
bin1101101110010011…
…1111111100000000
3100111201220222122000
43123210333330000
530021040100001
61405314544000
7160201466400
oct33344777400
910451828560
103683909376
11162051a704
12869898000
134692aba44
1426d392800
15168638a86
hexdb93ff00

3683909376 has 432 divisors, whose sum is σ = 12932388000. Its totient is φ = 1031159808.

The previous prime is 3683909357. The next prime is 3683909381. The reversal of 3683909376 is 6739093863.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24724150 + ... + 24724298.

Almost surely, 23683909376 is an apocalyptic number.

3683909376 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 3683909376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6466194000).

3683909376 is an abundant number, since it is smaller than the sum of its proper divisors (9248478624).

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

3683909376 is a wasteful number, since it uses less digits than its factorization.

3683909376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The square root of 3683909376 is about 60695.2170768010. The cubic root of 3683909376 is about 1544.4350389818.

The spelling of 3683909376 in words is "three billion, six hundred eighty-three million, nine hundred nine thousand, three hundred seventy-six".