3345093975960 has 1152 divisors, whose sum is σ = 13589079436800. Its totient is φ = 729856512000.

The previous prime is 3345093975947. The next prime is 3345093976033. The reversal of 3345093975960 is 695793905433.

3345093975960 is a `hidden beast` number, since 3 + 3 + 4 + 5 + 0 + 9 + 39 + 7 + 596 + 0 = 666.

It is a super-2 number, since 2×3345093975960² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 868628035 + ... + 868631885.

It is an arithmetic number, because the mean of its divisors is an integer number (11796075900).

Almost surely, 2^{3345093975960} is an apocalyptic number.

3345093975960 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 3345093975960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6794539718400).

3345093975960 is an abundant number, since it is smaller than the sum of its proper divisors (10243985460840).

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

3345093975960 is a wasteful number, since it uses less digits than its factorization.

3345093975960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 82668600, while the sum is 63.

The spelling of 3345093975960 in words is "three trillion, three hundred forty-five billion, ninety-three million, nine hundred seventy-five thousand, nine hundred sixty".