38675690777520 has 800 divisors, whose sum is σ = 137760378307200. Its totient is φ = 10053808128000.

The previous prime is 38675690777497. The next prime is 38675690777531. The reversal of 38675690777520 is 2577709657683.

38675690777520 is a `hidden beast` number, since 3 + 8 + 6 + 7 + 5 + 6 + 90 + 7 + 7 + 7 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16521011550 + ... + 16521013890.

It is an arithmetic number, because the mean of its divisors is an integer number (172200472884).

Almost surely, 2^{38675690777520} is an apocalyptic number.

38675690777520 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 38675690777520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68880189153600).

38675690777520 is an abundant number, since it is smaller than the sum of its proper divisors (99084687529680).

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

38675690777520 is a wasteful number, since it uses less digits than its factorization.

38675690777520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 933508800, while the sum is 72.

The spelling of 38675690777520 in words is "thirty-eight trillion, six hundred seventy-five billion, six hundred ninety million, seven hundred seventy-seven thousand, five hundred twenty".