39575952 has 180 divisors, whose sum is σ = 128129820. Its totient is φ = 11757312.

The previous prime is 39575951. The next prime is 39575957. The reversal of 39575952 is 25957593.

39575952 is a `hidden beast` number, since 3 + 9 + 57 + 595 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12702096 + 26873856 = 3564^2 + 5184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 39575898 and 39575907.

It is not an unprimeable number, because it can be changed into a prime (39575951) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1364674 + ... + 1364702.

Almost surely, 2^39575952 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 39575952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64064910).

39575952 is an abundant number, since it is smaller than the sum of its proper divisors (88553868).

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

39575952 is an equidigital number, since it uses as much as digits as its factorization.

39575952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 47 counting only the distinct ones).

The product of its digits is 425250, while the sum is 45.

The square root of 39575952 is about 6290.9420598190. The cubic root of 39575952 is about 340.7823736172.

The spelling of 39575952 in words is "thirty-nine million, five hundred seventy-five thousand, nine hundred fifty-two".