38872690560 has 768 divisors, whose sum is σ = 156971243520. Its totient is φ = 9107251200.

The previous prime is 38872690559. The next prime is 38872690621. The reversal of 38872690560 is 6509627883.

It is a happy number.

38872690560 is a `hidden beast` number, since 3 + 8 + 8 + 72 + 6 + 9 + 0 + 560 = 666.

It is a super-2 number, since 2×38872690560² (a number of 22 digits) contains 22 as substring.

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 = 38872690497 and 38872690506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53031954 + ... + 53032686.

It is an arithmetic number, because the mean of its divisors is an integer number (204389640).

Almost surely, 2^38872690560 is an apocalyptic number.

38872690560 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 38872690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78485621760).

38872690560 is an abundant number, since it is smaller than the sum of its proper divisors (118098552960).

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

38872690560 is a wasteful number, since it uses less digits than its factorization.

38872690560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 785 counting only the distinct ones).

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

The spelling of 38872690560 in words is "thirty-eight billion, eight hundred seventy-two million, six hundred ninety thousand, five hundred sixty".