39465984 has 88 divisors (see below), whose sum is σ = 109064160. Its totient is φ = 12673024.

The previous prime is 39465961. The next prime is 39465997. The reversal of 39465984 is 48956493.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88867 + ... + 89309.

Almost surely, 2^39465984 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 39465984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54532080).

39465984 is an abundant number, since it is smaller than the sum of its proper divisors (69598176).

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

39465984 is a wasteful number, since it uses less digits than its factorization.

39465984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 477 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 39465984 is about 6282.1957944655. The cubic root of 39465984 is about 340.4664416935.

The spelling of 39465984 in words is "thirty-nine million, four hundred sixty-five thousand, nine hundred eighty-four".