3613177498896 has 675 divisors, whose sum is σ = 12871324009269. Its totient is φ = 975539448576.

The previous prime is 3613177498891. The next prime is 3613177498913. The reversal of 3613177498896 is 6988947713163.

It is a happy number.

The square root of 3613177498896 is 1900836.

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

3613177498896 is a `hidden beast` number, since 3 + 61 + 3 + 1 + 77 + 498 + 8 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2421447210000 + 1191730288896 = 1556100^2 + 1091664^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3613177498891) 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, 9101202570 + ... + 9101202966.

Almost surely, 2^{3613177498896} is an apocalyptic number.

3613177498896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3613177498896 is the 1900836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3613177498896

3613177498896 is an abundant number, since it is smaller than the sum of its proper divisors (9258146510373).

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

3613177498896 is an equidigital number, since it uses as much as digits as its factorization.

3613177498896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 428 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The spelling of 3613177498896 in words is "three trillion, six hundred thirteen billion, one hundred seventy-seven million, four hundred ninety-eight thousand, eight hundred ninety-six".