39996576 has 72 divisors (see below), whose sum is σ = 114840180. Its totient is φ = 13203456.

The previous prime is 39996571. The next prime is 39996581. The reversal of 39996576 is 67569993.

It is an interprime number because it is at equal distance from previous prime (39996571) and next prime (39996581).

It can be written as a sum of positive squares in 2 ways, for example, as 39992976 + 3600 = 6324^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×39996576³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (39996571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31930 + ... + 33158.

Almost surely, 2^39996576 is an apocalyptic number.

39996576 is a gapful number since it is divisible by the number (36) 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 39996576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57420090).

39996576 is an abundant number, since it is smaller than the sum of its proper divisors (74843604).

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

39996576 is a wasteful number, since it uses less digits than its factorization.

39996576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1347 counting only the distinct ones).

The product of its digits is 2755620, while the sum is 54.

The square root of 39996576 is about 6324.2846235760. The cubic root of 39996576 is about 341.9854307942.

The spelling of 39996576 in words is "thirty-nine million, nine hundred ninety-six thousand, five hundred seventy-six".