38792640 has 112 divisors (see below), whose sum is σ = 130466592. Its totient is φ = 9732096.

The previous prime is 38792609. The next prime is 38792647. The reversal of 38792640 is 4629783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38792647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15132 + ... + 17508.

Almost surely, 2^38792640 is an apocalyptic number.

38792640 is a gapful number since it is divisible by the number (30) 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 38792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65233296).

38792640 is an abundant number, since it is smaller than the sum of its proper divisors (91673952).

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

38792640 is a wasteful number, since it uses less digits than its factorization.

38792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 38792640 is about 6228.3737845444. The cubic root of 38792640 is about 338.5190489263.

The spelling of 38792640 in words is "thirty-eight million, seven hundred ninety-two thousand, six hundred forty".