38992968 has 256 divisors, whose sum is σ = 137894400. Its totient is φ = 9953280.

The previous prime is 38992903. The next prime is 38992973. The reversal of 38992968 is 86929983.

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

It is a nude number because it is divisible by every one of its digits.

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, 951028 + ... + 951068.

It is an arithmetic number, because the mean of its divisors is an integer number (538650).

Almost surely, 2^38992968 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 38992968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).

38992968 is an abundant number, since it is smaller than the sum of its proper divisors (98901432).

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

38992968 is a wasteful number, since it uses less digits than its factorization.

38992968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 38992968 is about 6244.4349624285. The cubic root of 38992968 is about 339.1007610260.

The spelling of 38992968 in words is "thirty-eight million, nine hundred ninety-two thousand, nine hundred sixty-eight".