38992640 has 72 divisors (see below), whose sum is σ = 95806368. Its totient is φ = 15196160.

The previous prime is 38992633. The next prime is 38992669. The reversal of 38992640 is 4629983.

It is a happy number.

It is a super-3 number, since 3×38992640³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52109 + ... + 52851.

It is an arithmetic number, because the mean of its divisors is an integer number (1330644).

Almost surely, 2^38992640 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 38992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47903184).

38992640 is an abundant number, since it is smaller than the sum of its proper divisors (56813728).

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

38992640 is an equidigital number, since it uses as much as digits as its factorization.

38992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 38992640 is about 6244.4086989882. The cubic root of 38992640 is about 339.0998102104.

The spelling of 38992640 in words is "thirty-eight million, nine hundred ninety-two thousand, six hundred forty".