3990418560 has 256 divisors, whose sum is σ = 14621904000. Its totient is φ = 1027289088.

The previous prime is 3990418559. The next prime is 3990418561. The reversal of 3990418560 is 658140993.

It is a happy number.

3990418560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3990418559) and next prime (3990418561).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3990418561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497139 + ... + 505101.

Almost surely, 2^3990418560 is an apocalyptic number.

3990418560 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 3990418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7310952000).

3990418560 is an abundant number, since it is smaller than the sum of its proper divisors (10631485440).

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

3990418560 is a wasteful number, since it uses less digits than its factorization.

3990418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8020 (or 8002 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3990418560 is about 63169.7598539048. The cubic root of 3990418560 is about 1586.1325729458.

The spelling of 3990418560 in words is "three billion, nine hundred ninety million, four hundred eighteen thousand, five hundred sixty".