3990313440 has 144 divisors (see below), whose sum is σ = 14418029808. Its totient is φ = 1001484288.

The previous prime is 3990313427. The next prime is 3990313477. The reversal of 3990313440 is 443130993.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3990313395 and 3990313404.

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 23 ways as a sum of consecutive naturals, for example, 57022 + ... + 105981.

It is an arithmetic number, because the mean of its divisors is an integer number (100125207).

Almost surely, 2^3990313440 is an apocalyptic number.

3990313440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3990313440 is an abundant number, since it is smaller than the sum of its proper divisors (10427716368).

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

3990313440 is a wasteful number, since it uses less digits than its factorization.

3990313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163041 (or 163030 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3990313440 is about 63168.9278047364. The cubic root of 3990313440 is about 1586.1186449399.

The spelling of 3990313440 in words is "three billion, nine hundred ninety million, three hundred thirteen thousand, four hundred forty".