3900960000 has 900 divisors, whose sum is σ = 16998083872. Its totient is φ = 870912000.

The previous prime is 3900959963. The next prime is 3900960017. The reversal of 3900960000 is 690093.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 90719979 + ... + 90720021.

Almost surely, 2^3900960000 is an apocalyptic number.

3900960000 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 3900960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8499041936).

3900960000 is an abundant number, since it is smaller than the sum of its proper divisors (13097123872).

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

3900960000 is an frugal number, since it uses more digits than its factorization.

3900960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 3900960000 is about 62457.6656624309. The cubic root of 3900960000 is about 1574.1900597519.

The spelling of 3900960000 in words is "three billion, nine hundred million, nine hundred sixty thousand".