3345783570675 has 384 divisors, whose sum is σ = 8073083289600. Its totient is φ = 1318282076160.

The previous prime is 3345783570659. The next prime is 3345783570683. The reversal of 3345783570675 is 5760753875433.

It is a happy number.

3345783570675 is a `hidden beast` number, since 3 + 3 + 4 + 57 + 8 + 3 + 570 + 6 + 7 + 5 = 666.

It is not a de Polignac number, because 3345783570675 - 2⁴ = 3345783570659 is a prime.

It is a super-2 number, since 2×3345783570675² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 132603961 + ... + 132629189.

It is an arithmetic number, because the mean of its divisors is an integer number (21023654400).

Almost surely, 2^{3345783570675} is an apocalyptic number.

3345783570675 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3345783570675 is an abundant number, since it is smaller than the sum of its proper divisors (4727299718925).

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

3345783570675 is a wasteful number, since it uses less digits than its factorization.

3345783570675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25412 (or 25401 counting only the distinct ones).

The product of its (nonzero) digits is 222264000, while the sum is 63.

The spelling of 3345783570675 in words is "three trillion, three hundred forty-five billion, seven hundred eighty-three million, five hundred seventy thousand, six hundred seventy-five".