3903390400 has 672 divisors, whose sum is σ = 13334146560. Its totient is φ = 1088225280.

The previous prime is 3903390397. The next prime is 3903390473. The reversal of 3903390400 is 40933093.

It is a super-2 number, since 2×3903390400² = 30472913229624320000, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 47028759 + ... + 47028841.

It is an arithmetic number, because the mean of its divisors is an integer number (19842480).

Almost surely, 2^3903390400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3903390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6667073280).

3903390400 is an abundant number, since it is smaller than the sum of its proper divisors (9430756160).

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

3903390400 is a wasteful number, since it uses less digits than its factorization.

3903390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 31.

The square root of 3903390400 is about 62477.1190116830. The cubic root of 3903390400 is about 1574.5169123940.

The spelling of 3903390400 in words is "three billion, nine hundred three million, three hundred ninety thousand, four hundred".