39874464 has 192 divisors, whose sum is σ = 140313600. Its totient is φ = 10761984.

The previous prime is 39874453. The next prime is 39874511. The reversal of 39874464 is 46447893.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (580608) is a multiple of the sum of its prime divisors (378).

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 31 ways as a sum of consecutive naturals, for example, 114739 + ... + 115085.

It is an arithmetic number, because the mean of its divisors is an integer number (730800).

Almost surely, 2^39874464 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 39874464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70156800).

39874464 is an abundant number, since it is smaller than the sum of its proper divisors (100439136).

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

39874464 is a wasteful number, since it uses less digits than its factorization.

39874464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 378 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 39874464 is about 6314.6230291285. The cubic root of 39874464 is about 341.6370418362.

It can be divided in two parts, 39 and 874464, that added together give a triangular number (874503 = T₁₃₂₂).

The spelling of 39874464 in words is "thirty-nine million, eight hundred seventy-four thousand, four hundred sixty-four".