39921984 has 168 divisors, whose sum is σ = 126479808. Its totient is φ = 12441600.

The previous prime is 39921979. The next prime is 39921991. The reversal of 39921984 is 48912993.

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 23 ways as a sum of consecutive naturals, for example, 264309 + ... + 264459.

It is an arithmetic number, because the mean of its divisors is an integer number (752856).

Almost surely, 2^39921984 is an apocalyptic number.

39921984 is a gapful number since it is divisible by the number (34) 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 39921984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63239904).

39921984 is an abundant number, since it is smaller than the sum of its proper divisors (86557824).

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

39921984 is a wasteful number, since it uses less digits than its factorization.

39921984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 39921984 is about 6318.3846036784. The cubic root of 39921984 is about 341.7727021538.

The spelling of 39921984 in words is "thirty-nine million, nine hundred twenty-one thousand, nine hundred eighty-four".