38621765952 has 448 divisors, whose sum is σ = 142909747200. Its totient is φ = 9935861760.

The previous prime is 38621765939. The next prime is 38621765983. The reversal of 38621765952 is 25956712683.

38621765952 is a `hidden beast` number, since 3 + 8 + 621 + 7 + 6 + 5 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 14501773 + ... + 14504435.

Almost surely, 2^38621765952 is an apocalyptic number.

38621765952 is a gapful number since it is divisible by the number (32) 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 38621765952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71454873600).

38621765952 is an abundant number, since it is smaller than the sum of its proper divisors (104287981248).

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

38621765952 is a wasteful number, since it uses less digits than its factorization.

38621765952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2795 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 38621765952 in words is "thirty-eight billion, six hundred twenty-one million, seven hundred sixty-five thousand, nine hundred fifty-two".