3978087200 has 36 divisors (see below), whose sum is σ = 9711507330. Its totient is φ = 1591234560.

The previous prime is 3978087173. The next prime is 3978087277. The reversal of 3978087200 is 27808793.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3456969616 + 521117584 = 58796^2 + 22828^2 .

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2485505 + ... + 2487104.

Almost surely, 2^3978087200 is an apocalyptic number.

It is an amenable number.

3978087200 is an abundant number, since it is smaller than the sum of its proper divisors (5733420130).

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

3978087200 is a wasteful number, since it uses less digits than its factorization.

3978087200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4972629 (or 4972616 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The square root of 3978087200 is about 63072.0794012691. The cubic root of 3978087200 is about 1584.4970424322.

The spelling of 3978087200 in words is "three billion, nine hundred seventy-eight million, eighty-seven thousand, two hundred".