3810657545136 has 240 divisors, whose sum is σ = 11986871332800. Its totient is φ = 1121285265408.

The previous prime is 3810657545089. The next prime is 3810657545209. The reversal of 3810657545136 is 6315457560183.

3810657545136 is a `hidden beast` number, since 3 + 8 + 1 + 0 + 65 + 7 + 545 + 1 + 36 = 666.

It is a super-2 number, since 2×3810657545136² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314690250 + ... + 314702358.

It is an arithmetic number, because the mean of its divisors is an integer number (49945297220).

Almost surely, 2^{3810657545136} is an apocalyptic number.

3810657545136 is a gapful number since it is divisible by the number (36) 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 3810657545136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5993435666400).

3810657545136 is an abundant number, since it is smaller than the sum of its proper divisors (8176213787664).

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

3810657545136 is a wasteful number, since it uses less digits than its factorization.

3810657545136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19468 (or 19459 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 3810657545136 in words is "three trillion, eight hundred ten billion, six hundred fifty-seven million, five hundred forty-five thousand, one hundred thirty-six".