3807136664520 has 256 divisors, whose sum is σ = 13987386685440. Its totient is φ = 809146380288.

The previous prime is 3807136664501. The next prime is 3807136664563. The reversal of 3807136664520 is 254666317083.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 420822 + ... + 2791301.

It is an arithmetic number, because the mean of its divisors is an integer number (54638229240).

Almost surely, 2^{3807136664520} is an apocalyptic number.

3807136664520 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 3807136664520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6993693342720).

3807136664520 is an abundant number, since it is smaller than the sum of its proper divisors (10180250020920).

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

3807136664520 is a wasteful number, since it uses less digits than its factorization.

3807136664520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212244 (or 3212240 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 3807136664520 in words is "three trillion, eight hundred seven billion, one hundred thirty-six million, six hundred sixty-four thousand, five hundred twenty".