38035872 has 192 divisors, whose sum is σ = 133862400. Its totient is φ = 10264320.

The previous prime is 38035871. The next prime is 38035903. The reversal of 38035872 is 27853083.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38035871) 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, 114747 + ... + 115077.

It is an arithmetic number, because the mean of its divisors is an integer number (697200).

Almost surely, 2^38035872 is an apocalyptic number.

38035872 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 38035872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66931200).

38035872 is an abundant number, since it is smaller than the sum of its proper divisors (95826528).

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

38035872 is a wasteful number, since it uses less digits than its factorization.

38035872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 38035872 is about 6167.3229200359. The cubic root of 38035872 is about 336.3032975682.

The spelling of 38035872 in words is "thirty-eight million, thirty-five thousand, eight hundred seventy-two".