3902894792160 has 1536 divisors, whose sum is σ = 16496815104000. Its totient is φ = 752913874944.

The previous prime is 3902894792129. The next prime is 3902894792161. The reversal of 3902894792160 is 612974982093.

3902894792160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3902894792094 and 3902894792103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3902894792161) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3175666426 + ... + 3175667654.

It is an arithmetic number, because the mean of its divisors is an integer number (10740114000).

Almost surely, 2^{3902894792160} is an apocalyptic number.

3902894792160 is a gapful number since it is divisible by the number (30) 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 3902894792160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8248407552000).

3902894792160 is an abundant number, since it is smaller than the sum of its proper divisors (12593920311840).

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

3902894792160 is a wasteful number, since it uses less digits than its factorization.

3902894792160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 3902894792160 in words is "three trillion, nine hundred two billion, eight hundred ninety-four million, seven hundred ninety-two thousand, one hundred sixty".