3902403960 has 512 divisors, whose sum is σ = 16305408000. Its totient is φ = 808206336.

The previous prime is 3902403943. The next prime is 3902403971. The reversal of 3902403960 is 693042093.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5798184 + ... + 5798856.

It is an arithmetic number, because the mean of its divisors is an integer number (31846500).

Almost surely, 2^3902403960 is an apocalyptic number.

3902403960 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 3902403960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8152704000).

3902403960 is an abundant number, since it is smaller than the sum of its proper divisors (12403004040).

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

3902403960 is a wasteful number, since it uses less digits than its factorization.

3902403960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3902403960 is about 62469.2241027532. The cubic root of 3902403960 is about 1574.3842672524.

The spelling of 3902403960 in words is "three billion, nine hundred two million, four hundred three thousand, nine hundred sixty".