39964400 has 90 divisors (see below), whose sum is σ = 111745080. Its totient is φ = 13695360.

The previous prime is 39964369. The next prime is 39964423. The reversal of 39964400 is 446993.

It is a happy number.

39964400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18581 + ... + 20619.

It is an arithmetic number, because the mean of its divisors is an integer number (1241612).

Almost surely, 2^39964400 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 39964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55872540).

39964400 is an abundant number, since it is smaller than the sum of its proper divisors (71780680).

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

39964400 is a wasteful number, since it uses less digits than its factorization.

39964400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 39964400 is about 6321.7402667304. The cubic root of 39964400 is about 341.8937006482.

The spelling of 39964400 in words is "thirty-nine million, nine hundred sixty-four thousand, four hundred".