3672335999556 has 405 divisors, whose sum is σ = 11386923157071. Its totient is φ = 1029025365984.

The previous prime is 3672335999533. The next prime is 3672335999557. The reversal of 3672335999556 is 6559995332763.

The square root of 3672335999556 is 1916334.

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

3672335999556 is a `hidden beast` number, since 3 + 6 + 7 + 23 + 3 + 599 + 9 + 5 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (3672335999557) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 16177691515 + ... + 16177691741.

Almost surely, 2^{3672335999556} is an apocalyptic number.

3672335999556 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3672335999556 is the 1916334-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3672335999556

3672335999556 is an abundant number, since it is smaller than the sum of its proper divisors (7714587157515).

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

3672335999556 is an equidigital number, since it uses as much as digits as its factorization.

3672335999556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 306 counting only the distinct ones).

The product of its digits is 1240029000, while the sum is 72.

The spelling of 3672335999556 in words is "three trillion, six hundred seventy-two billion, three hundred thirty-five million, nine hundred ninety-nine thousand, five hundred fifty-six".