39280384 has 144 divisors (see below), whose sum is σ = 97866720. Its totient is φ = 15482880.

The previous prime is 39280369. The next prime is 39280399. The reversal of 39280384 is 48308293.

It is an interprime number because it is at equal distance from previous prime (39280369) and next prime (39280399).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1061614 + ... + 1061650.

It is an arithmetic number, because the mean of its divisors is an integer number (679630).

Almost surely, 2^39280384 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 39280384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48933360).

39280384 is an abundant number, since it is smaller than the sum of its proper divisors (58586336).

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

39280384 is a wasteful number, since it uses less digits than its factorization.

39280384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 39280384 is about 6267.4064811531. The cubic root of 39280384 is about 339.9318894709.

The spelling of 39280384 in words is "thirty-nine million, two hundred eighty thousand, three hundred eighty-four".