38072931840 has 240 divisors, whose sum is σ = 132096732768. Its totient is φ = 10134355968.

The previous prime is 38072931833. The next prime is 38072931881. The reversal of 38072931840 is 4813927083.

38072931840 is a `hidden beast` number, since 380 + 7 + 2 + 93 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 16748944 + ... + 16751216.

Almost surely, 2^38072931840 is an apocalyptic number.

38072931840 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 38072931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66048366384).

38072931840 is an abundant number, since it is smaller than the sum of its proper divisors (94023800928).

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

38072931840 is a wasteful number, since it uses less digits than its factorization.

38072931840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 38072931840 in words is "thirty-eight billion, seventy-two million, nine hundred thirty-one thousand, eight hundred forty".