3947980800 has 144 divisors (see below), whose sum is σ = 13051977120. Its totient is φ = 1052753920.

The previous prime is 3947980747. The next prime is 3947980823. The reversal of 3947980800 is 80897493.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3947980800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140749 + ... + 166451.

It is an arithmetic number, because the mean of its divisors is an integer number (90638730).

Almost surely, 2^3947980800 is an apocalyptic number.

3947980800 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 3947980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6525988560).

3947980800 is an abundant number, since it is smaller than the sum of its proper divisors (9103996320).

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

3947980800 is a wasteful number, since it uses less digits than its factorization.

3947980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25738 (or 25713 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 3947980800 is about 62832.9595037509. The cubic root of 3947980800 is about 1580.4897269504.

The spelling of 3947980800 in words is "three billion, nine hundred forty-seven million, nine hundred eighty thousand, eight hundred".