381979204900 has 18 divisors (see below), whose sum is σ = 828894874850. Its totient is φ = 152791681920.

The previous prime is 381979204897. The next prime is 381979204903. The reversal of 381979204900 is 9402979183.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (381979204897) and next prime (381979204903).

It can be written as a sum of positive squares in 3 ways, for example, as 133119900736 + 248859304164 = 364856^2 + 498858^2 .

It is a super-2 number, since 2×381979204900² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (381979204903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1909895925 + ... + 1909896124.

Almost surely, 2^381979204900 is an apocalyptic number.

It is an amenable number.

381979204900 is an abundant number, since it is smaller than the sum of its proper divisors (446915669950).

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

381979204900 is a wasteful number, since it uses less digits than its factorization.

381979204900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819792063 (or 3819792056 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 52.

The spelling of 381979204900 in words is "three hundred eighty-one billion, nine hundred seventy-nine million, two hundred four thousand, nine hundred".