3900672816 has 80 divisors (see below), whose sum is σ = 10265601888. Its totient is φ = 1275955200.

The previous prime is 3900672781. The next prime is 3900672817. The reversal of 3900672816 is 6182760093.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3900672817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1524210 + ... + 1526766.

Almost surely, 2^3900672816 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 3900672816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5132800944).

3900672816 is an abundant number, since it is smaller than the sum of its proper divisors (6364929072).

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

3900672816 is a wasteful number, since it uses less digits than its factorization.

3900672816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 3900672816 is about 62455.3665908703. The cubic root of 3900672816 is about 1574.1514288087.

The spelling of 3900672816 in words is "three billion, nine hundred million, six hundred seventy-two thousand, eight hundred sixteen".