38372635872 has 192 divisors, whose sum is σ = 114065280000. Its totient is φ = 12547851264.

The previous prime is 38372635871. The next prime is 38372635907. The reversal of 38372635872 is 27853627383.

38372635872 is a `hidden beast` number, since 3 + 8 + 37 + 26 + 3 + 587 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38372635871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11124004 + ... + 11127452.

It is an arithmetic number, because the mean of its divisors is an integer number (594090000).

Almost surely, 2^38372635872 is an apocalyptic number.

38372635872 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 38372635872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57032640000).

38372635872 is an abundant number, since it is smaller than the sum of its proper divisors (75692644128).

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

38372635872 is a wasteful number, since it uses less digits than its factorization.

38372635872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710 (or 3696 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 38372635872 in words is "thirty-eight billion, three hundred seventy-two million, six hundred thirty-five thousand, eight hundred seventy-two".