3903400368 has 240 divisors, whose sum is σ = 13215820800. Its totient is φ = 1114876224.

The previous prime is 3903400343. The next prime is 3903400381. The reversal of 3903400368 is 8630043093.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1332121 + ... + 1335047.

It is an arithmetic number, because the mean of its divisors is an integer number (55065920).

Almost surely, 2^3903400368 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 3903400368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6607910400).

3903400368 is an abundant number, since it is smaller than the sum of its proper divisors (9312420432).

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

3903400368 is an equidigital number, since it uses as much as digits as its factorization.

3903400368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3903400368 is about 62477.1987848367. The cubic root of 3903400368 is about 1574.5182526623.

The spelling of 3903400368 in words is "three billion, nine hundred three million, four hundred thousand, three hundred sixty-eight".