3796464672000 has 2592 divisors, whose sum is σ = 18460740969216. Its totient is φ = 727474176000.

The previous prime is 3796464671969. The next prime is 3796464672017. The reversal of 3796464672000 is 2764646973.

3796464672000 is a `hidden beast` number, since 37 + 96 + 46 + 467 + 20 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3747743494 + ... + 3747744506.

It is an arithmetic number, because the mean of its divisors is an integer number (7122199448).

Almost surely, 2^{3796464672000} is an apocalyptic number.

3796464672000 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 3796464672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9230370484608).

3796464672000 is an abundant number, since it is smaller than the sum of its proper divisors (14664276297216).

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

3796464672000 is a wasteful number, since it uses less digits than its factorization.

3796464672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 3796464672000 in words is "three trillion, seven hundred ninety-six billion, four hundred sixty-four million, six hundred seventy-two thousand".