3797415648000 has 1152 divisors, whose sum is σ = 15199354060800. Its totient is φ = 928143360000.

The previous prime is 3797415647989. The next prime is 3797415648023. The reversal of 3797415648000 is 8465147973.

3797415648000 is a `hidden beast` number, since 3 + 7 + 9 + 7 + 4 + 156 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×3797415648000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1696030881 + ... + 1696033119.

Almost surely, 2^{3797415648000} is an apocalyptic number.

3797415648000 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 3797415648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599677030400).

3797415648000 is an abundant number, since it is smaller than the sum of its proper divisors (11401938412800).

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

3797415648000 is a wasteful number, since it uses less digits than its factorization.

3797415648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 3797415648000 in words is "three trillion, seven hundred ninety-seven billion, four hundred fifteen million, six hundred forty-eight thousand".