3964012898160 has 320 divisors, whose sum is σ = 14093920788480. Its totient is φ = 902840893440.

The previous prime is 3964012898159. The next prime is 3964012898191. The reversal of 3964012898160 is 618982104693.

It is a self number, because there is not a number n which added to its sum of digits gives 3964012898160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 612388684 + ... + 612395156.

It is an arithmetic number, because the mean of its divisors is an integer number (44043502464).

Almost surely, 2^{3964012898160} is an apocalyptic number.

3964012898160 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 3964012898160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7046960394240).

3964012898160 is an abundant number, since it is smaller than the sum of its proper divisors (10129907890320).

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

3964012898160 is a wasteful number, since it uses less digits than its factorization.

3964012898160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7736 (or 7730 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 3964012898160 in words is "three trillion, nine hundred sixty-four billion, twelve million, eight hundred ninety-eight thousand, one hundred sixty".