3810368153856 has 576 divisors, whose sum is σ = 12189918375936. Its totient is φ = 1043447808000.

The previous prime is 3810368153827. The next prime is 3810368153939. The reversal of 3810368153856 is 6583518630183.

3810368153856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3810368153856³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3810368153796 and 3810368153805.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 357742131 + ... + 357752781.

It is an arithmetic number, because the mean of its divisors is an integer number (21163052736).

Almost surely, 2^{3810368153856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3810368153856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094959187968).

3810368153856 is an abundant number, since it is smaller than the sum of its proper divisors (8379550222080).

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

3810368153856 is a wasteful number, since it uses less digits than its factorization.

3810368153856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10798 (or 10784 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 3810368153856 in words is "three trillion, eight hundred ten billion, three hundred sixty-eight million, one hundred fifty-three thousand, eight hundred fifty-six".