38688021552 has 120 divisors (see below), whose sum is σ = 101911088880. Its totient is φ = 12646860800.

The previous prime is 38688021469. The next prime is 38688021569. The reversal of 38688021552 is 25512088683.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67992724 + ... + 67993292.

It is an arithmetic number, because the mean of its divisors is an integer number (849259074).

Almost surely, 2^38688021552 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 38688021552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50955544440).

38688021552 is an abundant number, since it is smaller than the sum of its proper divisors (63223067328).

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

38688021552 is a wasteful number, since it uses less digits than its factorization.

38688021552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 38688021552 in words is "thirty-eight billion, six hundred eighty-eight million, twenty-one thousand, five hundred fifty-two".