361988676 has 135 divisors (see below), whose sum is σ = 1108147887. Its totient is φ = 102740400.

The previous prime is 361988621. The next prime is 361988687. The reversal of 361988676 is 676889163.

It is a happy number.

The square root of 361988676 is 19026.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2397201 + ... + 2397351.

Almost surely, 2^361988676 is an apocalyptic number.

361988676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

361988676 is the 19026-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361988676

361988676 is an abundant number, since it is smaller than the sum of its proper divisors (746159211).

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

361988676 is a wasteful number, since it uses less digits than its factorization.

361988676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 163 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The cubic root of 361988676 is about 712.6861652041.

The spelling of 361988676 in words is "three hundred sixty-one million, nine hundred eighty-eight thousand, six hundred seventy-six".