3986222400 has 126 divisors (see below), whose sum is σ = 14168026782. Its totient is φ = 1062988800.

The previous prime is 3986222399. The next prime is 3986222489. The reversal of 3986222400 is 42226893.

3986222400 is a `hidden beast` number, since 3 + 9 + 8 + 622 + 24 + 0 + 0 = 666.

3986222400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 14197824 + 3972024576 = 3768^2 + 63024^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 124011 + ... + 152810.

It is an arithmetic number, because the mean of its divisors is an integer number (112444657).

Almost surely, 2^3986222400 is an apocalyptic number.

3986222400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3986222400 is an abundant number, since it is smaller than the sum of its proper divisors (10181804382).

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

3986222400 is a wasteful number, since it uses less digits than its factorization.

3986222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276849 (or 276831 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3986222400 is about 63136.5377574666. The cubic root of 3986222400 is about 1585.5764073655.

The spelling of 3986222400 in words is "three billion, nine hundred eighty-six million, two hundred twenty-two thousand, four hundred".