39392964 has 72 divisors (see below), whose sum is σ = 109905432. Its totient is φ = 11819520.

The previous prime is 39392963. The next prime is 39392981. The reversal of 39392964 is 46929393.

It can be written as a sum of positive squares in 4 ways, for example, as 230400 + 39162564 = 480^2 + 6258^2 .

It is a super-2 number, since 2×39392964² = 3103611225410592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (39392963) 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 23 ways as a sum of consecutive naturals, for example, 18162 + ... + 20214.

Almost surely, 2^39392964 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 39392964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54952716).

39392964 is an abundant number, since it is smaller than the sum of its proper divisors (70512468).

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

39392964 is a wasteful number, since it uses less digits than its factorization.

39392964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2112 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 39392964 is about 6276.3814415633. The cubic root of 39392964 is about 340.2563349521.

It can be divided in two parts, 3939 and 2964, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 39392964 in words is "thirty-nine million, three hundred ninety-two thousand, nine hundred sixty-four".