3990077400 has 96 divisors (see below), whose sum is σ = 12432396240. Its totient is φ = 1058588160.

The previous prime is 3990077381. The next prime is 3990077423. The reversal of 3990077400 is 47700993.

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, 101322 + ... + 135078.

Almost surely, 2^3990077400 is an apocalyptic number.

3990077400 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 3990077400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6216198120).

3990077400 is an abundant number, since it is smaller than the sum of its proper divisors (8442318840).

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

3990077400 is a wasteful number, since it uses less digits than its factorization.

3990077400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33973 (or 33964 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 3990077400 is about 63167.0594534841. The cubic root of 3990077400 is about 1586.0873696334.

The spelling of 3990077400 in words is "three billion, nine hundred ninety million, seventy-seven thousand, four hundred".