3599229332160 has 2016 divisors, whose sum is σ = 17194297498560. Its totient is φ = 703727861760.

The previous prime is 3599229332137. The next prime is 3599229332183. The reversal of 3599229332160 is 612339229953.

3599229332160 is a `hidden beast` number, since 3 + 5 + 99 + 229 + 3 + 321 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3599229332137) and next prime (3599229332183).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×3599229332160² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3599229332097 and 3599229332106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 870849454 + ... + 870853586.

It is an arithmetic number, because the mean of its divisors is an integer number (8528917410).

Almost surely, 2^{3599229332160} is an apocalyptic number.

3599229332160 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 3599229332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8597148749280).

3599229332160 is an abundant number, since it is smaller than the sum of its proper divisors (13595068166400).

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

3599229332160 is a wasteful number, since it uses less digits than its factorization.

3599229332160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4212 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 54.

The spelling of 3599229332160 in words is "three trillion, five hundred ninety-nine billion, two hundred twenty-nine million, three hundred thirty-two thousand, one hundred sixty".