39729952 has 48 divisors (see below), whose sum is σ = 83462400. Its totient is φ = 18551808.

The previous prime is 39729929. The next prime is 39729959. The reversal of 39729952 is 25992793.

It is not an unprimeable number, because it can be changed into a prime (39729959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108073 + ... + 108439.

It is an arithmetic number, because the mean of its divisors is an integer number (1738800).

Almost surely, 2^39729952 is an apocalyptic number.

39729952 is a gapful number since it is divisible by the number (32) 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 39729952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41731200).

39729952 is an abundant number, since it is smaller than the sum of its proper divisors (43732448).

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

39729952 is a wasteful number, since it uses less digits than its factorization.

39729952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 585 counting only the distinct ones).

The product of its digits is 306180, while the sum is 46.

The square root of 39729952 is about 6303.1699961210. The cubic root of 39729952 is about 341.2238248696.

It can be divided in two parts, 3972 and 9952, that added together give a square (13924 = 118²).

The spelling of 39729952 in words is "thirty-nine million, seven hundred twenty-nine thousand, nine hundred fifty-two".