39829152 has 48 divisors (see below), whose sum is σ = 114059232. Its totient is φ = 12069120.

The previous prime is 39829133. The next prime is 39829159. The reversal of 39829152 is 25192893.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×39829152² = 3172722698078208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 39829152.

It is not an unprimeable number, because it can be changed into a prime (39829159) 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, 17803 + ... + 19914.

It is an arithmetic number, because the mean of its divisors is an integer number (2376234).

Almost surely, 2^39829152 is an apocalyptic number.

39829152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

39829152 is an abundant number, since it is smaller than the sum of its proper divisors (74230080).

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

39829152 is a wasteful number, since it uses less digits than its factorization.

39829152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37741 (or 37733 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 39829152 is about 6311.0341466356. The cubic root of 39829152 is about 341.5075845049.

The spelling of 39829152 in words is "thirty-nine million, eight hundred twenty-nine thousand, one hundred fifty-two".