38800944 has 300 divisors, whose sum is σ = 143678304. Its totient is φ = 10015488.

The previous prime is 38800943. The next prime is 38800961. The reversal of 38800944 is 44900883.

It is a super-2 number, since 2×38800944² = 3011026510582272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 38800899 and 38800908.

It is not an unprimeable number, because it can be changed into a prime (38800943) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 825529 + ... + 825575.

Almost surely, 2^38800944 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 38800944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71839152).

38800944 is an abundant number, since it is smaller than the sum of its proper divisors (104877360).

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

38800944 is a wasteful number, since it uses less digits than its factorization.

38800944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38800944 is about 6229.0403755314. The cubic root of 38800944 is about 338.5432018036.

The spelling of 38800944 in words is "thirty-eight million, eight hundred thousand, nine hundred forty-four".