3899040768 has 264 divisors, whose sum is σ = 13548192320. Its totient is φ = 1055047680.

The previous prime is 3899040751. The next prime is 3899040773. The reversal of 3899040768 is 8670409983.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1224138 + ... + 1227318.

Almost surely, 2^3899040768 is an apocalyptic number.

3899040768 is a gapful number since it is divisible by the number (38) 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 3899040768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6774096160).

3899040768 is an abundant number, since it is smaller than the sum of its proper divisors (9649151552).

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

3899040768 is a wasteful number, since it uses less digits than its factorization.

3899040768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233 (or 3212 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 3899040768 is about 62442.2995092269. The cubic root of 3899040768 is about 1573.9318556565.

The spelling of 3899040768 in words is "three billion, eight hundred ninety-nine million, forty thousand, seven hundred sixty-eight".