3613496900832 has 1152 divisors, whose sum is σ = 13629335166720. Its totient is φ = 882524160000.

The previous prime is 3613496900813. The next prime is 3613496900843. The reversal of 3613496900832 is 2380096943163.

3613496900832 is a `hidden beast` number, since 3 + 61 + 3 + 496 + 90 + 0 + 8 + 3 + 2 = 666.

3613496900832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1900839082 + ... + 1900840982.

It is an arithmetic number, because the mean of its divisors is an integer number (11831020110).

Almost surely, 2^{3613496900832} is an apocalyptic number.

3613496900832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3613496900832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6814667583360).

3613496900832 is an abundant number, since it is smaller than the sum of its proper divisors (10015838265888).

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

3613496900832 is a wasteful number, since it uses less digits than its factorization.

3613496900832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 3613496900832 in words is "three trillion, six hundred thirteen billion, four hundred ninety-six million, nine hundred thousand, eight hundred thirty-two".