3960088704 has 320 divisors, whose sum is σ = 13850686080. Its totient is φ = 1107302400.

The previous prime is 3960088697. The next prime is 3960088711. The reversal of 3960088704 is 4078800693.

It is a happy number.

3960088704 is a `hidden beast` number, since 39 + 600 + 8 + 8 + 7 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3960088697) and next prime (3960088711).

It is a self number, because there is not a number n which added to its sum of digits gives 3960088704.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1481289 + ... + 1483959.

It is an arithmetic number, because the mean of its divisors is an integer number (43283394).

Almost surely, 2^3960088704 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 3960088704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6925343040).

3960088704 is an abundant number, since it is smaller than the sum of its proper divisors (9890597376).

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

3960088704 is a wasteful number, since it uses less digits than its factorization.

3960088704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2721 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3960088704 is about 62929.2356858082. The cubic root of 3960088704 is about 1582.1037915583.

The spelling of 3960088704 in words is "three billion, nine hundred sixty million, eighty-eight thousand, seven hundred four".