3949408000 has 72 divisors (see below), whose sum is σ = 9838548720. Its totient is φ = 1579750400.

The previous prime is 3949407997. The next prime is 3949408003. The reversal of 3949408000 is 8049493.

3949408000 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 (3949407997) and next prime (3949408003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3949408003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29710 + ... + 93709.

It is an arithmetic number, because the mean of its divisors is an integer number (136646510).

Almost surely, 2^3949408000 is an apocalyptic number.

It is an amenable number.

3949408000 is an abundant number, since it is smaller than the sum of its proper divisors (5889140720).

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

3949408000 is an equidigital number, since it uses as much as digits as its factorization.

3949408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123450 (or 123426 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 3949408000 is about 62844.3155742825. The cubic root of 3949408000 is about 1580.6801536771.

The spelling of 3949408000 in words is "three billion, nine hundred forty-nine million, four hundred eight thousand".