3964400840 has 32 divisors (see below), whose sum is σ = 8922113280. Its totient is φ = 1585367232.

The previous prime is 3964400837. The next prime is 3964400851. The reversal of 3964400840 is 480044693.

It is a junction number, because it is equal to n+sod(n) for n = 3964400794 and 3964400803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193739 + ... + 213221.

It is an arithmetic number, because the mean of its divisors is an integer number (278816040).

Almost surely, 2^3964400840 is an apocalyptic number.

It is an amenable number.

3964400840 is an abundant number, since it is smaller than the sum of its proper divisors (4957712440).

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

3964400840 is a wasteful number, since it uses less digits than its factorization.

3964400840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24581 (or 24577 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 3964400840 is about 62963.4881498794. The cubic root of 3964400840 is about 1582.6778335791.

The spelling of 3964400840 in words is "three billion, nine hundred sixty-four million, four hundred thousand, eight hundred forty".