3990466400 has 72 divisors (see below), whose sum is σ = 9887257800. Its totient is φ = 1572341760.

The previous prime is 3990466367. The next prime is 3990466411. The reversal of 3990466400 is 46640993.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16376 + ... + 90824.

It is an arithmetic number, because the mean of its divisors is an integer number (137323025).

Almost surely, 2^3990466400 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 3990466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4943628900).

3990466400 is an abundant number, since it is smaller than the sum of its proper divisors (5896791400).

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

3990466400 is a wasteful number, since it uses less digits than its factorization.

3990466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74536 (or 74523 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 41.

The square root of 3990466400 is about 63170.1385149661. The cubic root of 3990466400 is about 1586.1389114855.

The spelling of 3990466400 in words is "three billion, nine hundred ninety million, four hundred sixty-six thousand, four hundred".