3596101407360 has 1152 divisors, whose sum is σ = 15823206584640. Its totient is φ = 744169144320.

The previous prime is 3596101407359. The next prime is 3596101407361. The reversal of 3596101407360 is 637041016953.

It is a happy number.

3596101407360 is a `hidden beast` number, since 3 + 596 + 10 + 1 + 40 + 7 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3596101407359) and next prime (3596101407361).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3596101407361) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 797890227 + ... + 797894733.

Almost surely, 2^{3596101407360} is an apocalyptic number.

3596101407360 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 3596101407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7911603292320).

3596101407360 is an abundant number, since it is smaller than the sum of its proper divisors (12227105177280).

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

3596101407360 is a wasteful number, since it uses less digits than its factorization.

3596101407360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4814 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 3596101407360 in words is "three trillion, five hundred ninety-six billion, one hundred one million, four hundred seven thousand, three hundred sixty".