3964400 has 120 divisors (see below), whose sum is σ = 11209104. Its totient is φ = 1331200.

The previous prime is 3964399. The next prime is 3964421. The reversal of 3964400 is 44693.

It is a self number, because there is not a number n which added to its sum of digits gives 3964400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74774 + ... + 74826.

Almost surely, 2^3964400 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 3964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604552).

3964400 is an abundant number, since it is smaller than the sum of its proper divisors (7244704).

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

3964400 is a wasteful number, since it uses less digits than its factorization.

3964400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 3964400 is about 1991.0801088856. The cubic root of 3964400 is about 158.2677721797.

It can be divided in two parts, 396 and 4400, that multiplied together give a square (1742400 = 1320²).

The spelling of 3964400 in words is "three million, nine hundred sixty-four thousand, four hundred".