3575229268680 has 512 divisors, whose sum is σ = 12943421568000. Its totient is φ = 874475274240.

The previous prime is 3575229268631. The next prime is 3575229268693. The reversal of 3575229268680 is 868629225753.

3575229268680 is a `hidden beast` number, since 3 + 5 + 7 + 522 + 9 + 26 + 8 + 6 + 80 = 666.

It is a super-2 number, since 2×3575229268680² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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, 122060997 + ... + 122090283.

It is an arithmetic number, because the mean of its divisors is an integer number (25280120250).

Almost surely, 2^{3575229268680} is an apocalyptic number.

3575229268680 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 3575229268680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6471710784000).

3575229268680 is an abundant number, since it is smaller than the sum of its proper divisors (9368192299320).

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

3575229268680 is a wasteful number, since it uses less digits than its factorization.

3575229268680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29494 (or 29484 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 3575229268680 in words is "three trillion, five hundred seventy-five billion, two hundred twenty-nine million, two hundred sixty-eight thousand, six hundred eighty".