3990374400000 has 720 divisors, whose sum is σ = 13503235612608. Its totient is φ = 1047920640000.

The previous prime is 3990374399983. The next prime is 3990374400017. The reversal of 3990374400000 is 44730993.

It is an interprime number because it is at equal distance from previous prime (3990374399983) and next prime (3990374400017).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12748799844 + ... + 12748800156.

Almost surely, 2^{3990374400000} is an apocalyptic number.

3990374400000 is a gapful number since it is divisible by the number (30) 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 3990374400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6751617806304).

3990374400000 is an abundant number, since it is smaller than the sum of its proper divisors (9512861212608).

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

3990374400000 is an frugal number, since it uses more digits than its factorization.

3990374400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The spelling of 3990374400000 in words is "three trillion, nine hundred ninety billion, three hundred seventy-four million, four hundred thousand".