3598332165120 has 1408 divisors, whose sum is σ = 14775488888832. Its totient is φ = 725837414400.

The previous prime is 3598332165073. The next prime is 3598332165139. The reversal of 3598332165120 is 215612338953.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×3598332165120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3598332165120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6130037467 + ... + 6130038053.

Almost surely, 2^{3598332165120} is an apocalyptic number.

3598332165120 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 3598332165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7387744444416).

3598332165120 is an abundant number, since it is smaller than the sum of its proper divisors (11177156723712).

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

3598332165120 is a wasteful number, since it uses less digits than its factorization.

3598332165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 3598332165120 in words is "three trillion, five hundred ninety-eight billion, three hundred thirty-two million, one hundred sixty-five thousand, one hundred twenty".