3796971171840 has 2080 divisors, whose sum is σ = 17222960140800. Its totient is φ = 777205186560.

The previous prime is 3796971171787. The next prime is 3796971171841. The reversal of 3796971171840 is 481711796973.

3796971171840 is a `hidden beast` number, since 379 + 6 + 9 + 71 + 17 + 184 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3796971171841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 56671211487 + ... + 56671211553.

Almost surely, 2^{3796971171840} is an apocalyptic number.

3796971171840 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 3796971171840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8611480070400).

3796971171840 is an abundant number, since it is smaller than the sum of its proper divisors (13425988968960).

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

3796971171840 is an frugal number, since it uses more digits than its factorization.

3796971171840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 63.

The spelling of 3796971171840 in words is "three trillion, seven hundred ninety-six billion, nine hundred seventy-one million, one hundred seventy-one thousand, eight hundred forty".