3915097804800 has 4212 divisors, whose sum is σ = 19282171643280. Its totient is φ = 782566686720.

The previous prime is 3915097804799. The next prime is 3915097804861. The reversal of 3915097804800 is 84087905193.

3915097804800 is a `hidden beast` number, since 3 + 9 + 150 + 9 + 7 + 8 + 0 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4212).

It is a super-2 number, since 2×3915097804800² (a number of 26 digits) contains 22 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 polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 206057779191 + ... + 206057779209.

Almost surely, 2^{3915097804800} is an apocalyptic number.

3915097804800 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 3915097804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9641085821640).

3915097804800 is an abundant number, since it is smaller than the sum of its proper divisors (15367073838480).

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

3915097804800 is a wasteful number, since it uses less digits than its factorization.

3915097804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 3915097804800 in words is "three trillion, nine hundred fifteen billion, ninety-seven million, eight hundred four thousand, eight hundred".