3890613672 has 144 divisors (see below), whose sum is σ = 11773556340. Its totient is φ = 1159488000.

The previous prime is 3890613613. The next prime is 3890613689. The reversal of 3890613672 is 2763160983.

It can be written as a sum of positive squares in 2 ways, for example, as 2327676516 + 1562937156 = 48246^2 + 39534^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 527772 + ... + 535092.

Almost surely, 2^3890613672 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 3890613672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5886778170).

3890613672 is an abundant number, since it is smaller than the sum of its proper divisors (7882942668).

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

3890613672 is a wasteful number, since it uses less digits than its factorization.

3890613672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7416 (or 7398 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3890613672 is about 62374.7839435136. The cubic root of 3890613672 is about 1572.7971114265.

The spelling of 3890613672 in words is "three billion, eight hundred ninety million, six hundred thirteen thousand, six hundred seventy-two".