3599102160 has 180 divisors, whose sum is σ = 12553061508. Its totient is φ = 959620608.

The previous prime is 3599102153. The next prime is 3599102161. The reversal of 3599102160 is 612019953.

3599102160 is a `hidden beast` number, since 3 + 599 + 1 + 0 + 2 + 1 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 457275456 + 3141826704 = 21384^2 + 56052^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3599102161) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 521452 + ... + 528308.

Almost surely, 2^3599102160 is an apocalyptic number.

3599102160 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 3599102160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6276530754).

3599102160 is an abundant number, since it is smaller than the sum of its proper divisors (8953959348).

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

3599102160 is an frugal number, since it uses more digits than its factorization.

3599102160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6894 (or 6867 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 3599102160 is about 59992.5175334391. The cubic root of 3599102160 is about 1532.4914424785.

The spelling of 3599102160 in words is "three billion, five hundred ninety-nine million, one hundred two thousand, one hundred sixty".