3796901982720 has 1920 divisors, whose sum is σ = 17556988280832. Its totient is φ = 763217510400.

The previous prime is 3796901982707. The next prime is 3796901982737. The reversal of 3796901982720 is 272891096973.

3796901982720 is a `hidden beast` number, since 3 + 7 + 96 + 90 + 198 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1484903682 + ... + 1484906238.

Almost surely, 2^{3796901982720} is an apocalyptic number.

3796901982720 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 3796901982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8778494140416).

3796901982720 is an abundant number, since it is smaller than the sum of its proper divisors (13760086298112).

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

3796901982720 is a wasteful number, since it uses less digits than its factorization.

3796901982720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 3796901982720 in words is "three trillion, seven hundred ninety-six billion, nine hundred one million, nine hundred eighty-two thousand, seven hundred twenty".