39711952 has 60 divisors (see below), whose sum is σ = 91990020. Its totient is φ = 16559424.

The previous prime is 39711941. The next prime is 39712003. The reversal of 39711952 is 25911793.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 30735936 + 8976016 = 5544^2 + 2996^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1073278 + ... + 1073314.

It is an arithmetic number, because the mean of its divisors is an integer number (1533167).

Almost surely, 2^39711952 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 39711952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45995010).

39711952 is an abundant number, since it is smaller than the sum of its proper divisors (52278068).

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

39711952 is an frugal number, since it uses more digits than its factorization.

39711952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 46 counting only the distinct ones).

The product of its digits is 17010, while the sum is 37.

The square root of 39711952 is about 6301.7419813890. The cubic root of 39711952 is about 341.1722856123.

Multiplying 39711952 by its sum of digits (37), we get a square (1469342224 = 38332²).

39711952 divided by its sum of digits (37) gives a square (1073296 = 1036²).

The spelling of 39711952 in words is "thirty-nine million, seven hundred eleven thousand, nine hundred fifty-two".