3808734190560 has 2880 divisors, whose sum is σ = 16984678233600. Its totient is φ = 795131707392.

The previous prime is 3808734190549. The next prime is 3808734190603. The reversal of 3808734190560 is 650914378083.

3808734190560 is a `hidden beast` number, since 3 + 8 + 0 + 8 + 73 + 4 + 1 + 9 + 0 + 560 = 666.

It is a super-2 number, since 2×3808734190560² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3808734190497 and 3808734190506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 21277844551 + ... + 21277844729.

It is an arithmetic number, because the mean of its divisors is an integer number (5897457720).

Almost surely, 2^{3808734190560} is an apocalyptic number.

3808734190560 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 3808734190560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8492339116800).

3808734190560 is an abundant number, since it is smaller than the sum of its proper divisors (13175944043040).

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

3808734190560 is a wasteful number, since it uses less digits than its factorization.

3808734190560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3808734190560 in words is "three trillion, eight hundred eight billion, seven hundred thirty-four million, one hundred ninety thousand, five hundred sixty".