39400764 has 96 divisors (see below), whose sum is σ = 106686720. Its totient is φ = 11209728.

The previous prime is 39400759. The next prime is 39400769. The reversal of 39400764 is 46700493.

39400764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (39400759) and next prime (39400769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39400769) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 220027 + ... + 220205.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320).

Almost surely, 2^39400764 is an apocalyptic number.

39400764 is a gapful number since it is divisible by the number (34) 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 39400764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53343360).

39400764 is an abundant number, since it is smaller than the sum of its proper divisors (67285956).

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

39400764 is a wasteful number, since it uses less digits than its factorization.

39400764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 39400764 is about 6277.0027879554. The cubic root of 39400764 is about 340.2787909442.

The spelling of 39400764 in words is "thirty-nine million, four hundred thousand, seven hundred sixty-four".