3993090240 has 112 divisors (see below), whose sum is σ = 12754490112. Its totient is φ = 1058405376.

The previous prime is 3993090229. The next prime is 3993090259. The reversal of 3993090240 is 420903993.

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 15 ways as a sum of consecutive naturals, for example, 147867 + ... + 172773.

It is an arithmetic number, because the mean of its divisors is an integer number (113879376).

Almost surely, 2^3993090240 is an apocalyptic number.

3993090240 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 3993090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6377245056).

3993090240 is an abundant number, since it is smaller than the sum of its proper divisors (8761399872).

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

3993090240 is a wasteful number, since it uses less digits than its factorization.

3993090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25094 (or 25084 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 3993090240 is about 63190.9031427784. The cubic root of 3993090240 is about 1586.4864784512.

The spelling of 3993090240 in words is "three billion, nine hundred ninety-three million, ninety thousand, two hundred forty".