3530960793360 has 4800 divisors, whose sum is σ = 18248294034432. Its totient is φ = 613122048000.

The previous prime is 3530960793329. The next prime is 3530960793397. The reversal of 3530960793360 is 633970690353.

3530960793360 is a `hidden beast` number, since 3 + 530 + 9 + 6 + 0 + 79 + 3 + 36 + 0 = 666.

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 = 3530960793297 and 3530960793306.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 49731842125 + ... + 49731842195.

Almost surely, 2^{3530960793360} is an apocalyptic number.

3530960793360 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 3530960793360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9124147017216).

3530960793360 is an abundant number, since it is smaller than the sum of its proper divisors (14717333241072).

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

3530960793360 is a wasteful number, since it uses less digits than its factorization.

3530960793360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 8266860, while the sum is 54.

The spelling of 3530960793360 in words is "three trillion, five hundred thirty billion, nine hundred sixty million, seven hundred ninety-three thousand, three hundred sixty".