39521952 has 96 divisors (see below), whose sum is σ = 116424000. Its totient is φ = 13042944.

The previous prime is 39521939. The next prime is 39521959. The reversal of 39521952 is 25912593.

It is a happy number.

39521952 is a `hidden beast` number, since 395 + 219 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (39521959) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 128583 + ... + 128889.

It is an arithmetic number, because the mean of its divisors is an integer number (1212750).

Almost surely, 2^39521952 is an apocalyptic number.

39521952 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 39521952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58212000).

39521952 is an abundant number, since it is smaller than the sum of its proper divisors (76902048).

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

39521952 is a wasteful number, since it uses less digits than its factorization.

39521952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 461 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 39521952 is about 6286.6487097658. The cubic root of 39521952 is about 340.6273078653.

The spelling of 39521952 in words is "thirty-nine million, five hundred twenty-one thousand, nine hundred fifty-two".