3964356440 has 32 divisors (see below), whose sum is σ = 9730694160. Its totient is φ = 1441584000.

The previous prime is 3964356439. The next prime is 3964356449. The reversal of 3964356440 is 446534693.

3964356440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3964356440² = 31432243966738947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 3964356391 and 3964356400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3964356449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4504511 + ... + 4505390.

Almost surely, 2^3964356440 is an apocalyptic number.

It is an amenable number.

3964356440 is an abundant number, since it is smaller than the sum of its proper divisors (5766337720).

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

3964356440 is a wasteful number, since it uses less digits than its factorization.

3964356440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9009923 (or 9009919 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 44.

The square root of 3964356440 is about 62963.1355635978. The cubic root of 3964356440 is about 1582.6719250647.

The spelling of 3964356440 in words is "three billion, nine hundred sixty-four million, three hundred fifty-six thousand, four hundred forty".