3696183429120 has 2304 divisors, whose sum is σ = 17015617382400. Its totient is φ = 753582735360.

The previous prime is 3696183429097. The next prime is 3696183429131. The reversal of 3696183429120 is 219243816963.

3696183429120 is a `hidden beast` number, since 3 + 6 + 9 + 618 + 3 + 4 + 2 + 9 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5459650222 + ... + 5459650898.

It is an arithmetic number, because the mean of its divisors is an integer number (7385250600).

Almost surely, 2^{3696183429120} is an apocalyptic number.

3696183429120 is a gapful number since it is divisible by the number (30) 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 3696183429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8507808691200).

3696183429120 is an abundant number, since it is smaller than the sum of its proper divisors (13319433953280).

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

3696183429120 is a wasteful number, since it uses less digits than its factorization.

3696183429120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 3696183429120 in words is "three trillion, six hundred ninety-six billion, one hundred eighty-three million, four hundred twenty-nine thousand, one hundred twenty".