3352572970560 has 560 divisors, whose sum is σ = 13066911696960. Its totient is φ = 809180098560.

The previous prime is 3352572970559. The next prime is 3352572970661. The reversal of 3352572970560 is 650792752533.

3352572970560 is a `hidden beast` number, since 3 + 3 + 5 + 2 + 5 + 7 + 2 + 9 + 70 + 560 = 666.

It is a super-2 number, since 2×3352572970560² (a number of 26 digits) contains 22 as substring.

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 = 3352572970497 and 3352572970506.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 65266807 + ... + 65318153.

Almost surely, 2^{3352572970560} is an apocalyptic number.

3352572970560 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 3352572970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6533455848480).

3352572970560 is an abundant number, since it is smaller than the sum of its proper divisors (9714338726400).

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

3352572970560 is a wasteful number, since it uses less digits than its factorization.

3352572970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51616 (or 51597 counting only the distinct ones).

The product of its (nonzero) digits is 11907000, while the sum is 54.

The spelling of 3352572970560 in words is "three trillion, three hundred fifty-two billion, five hundred seventy-two million, nine hundred seventy thousand, five hundred sixty".