3475765791960 has 512 divisors, whose sum is σ = 13459824967680. Its totient is φ = 696845721600.

The previous prime is 3475765791959. The next prime is 3475765791997. The reversal of 3475765791960 is 691975675743.

It is a congruent number.

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, 96512277 + ... + 96548283.

It is an arithmetic number, because the mean of its divisors is an integer number (26288720640).

Almost surely, 2^{3475765791960} is an apocalyptic number.

3475765791960 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 3475765791960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729912483840).

3475765791960 is an abundant number, since it is smaller than the sum of its proper divisors (9984059175720).

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

3475765791960 is a wasteful number, since it uses less digits than its factorization.

3475765791960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36407 (or 36403 counting only the distinct ones).

The product of its (nonzero) digits is 300056400, while the sum is 69.

The spelling of 3475765791960 in words is "three trillion, four hundred seventy-five billion, seven hundred sixty-five million, seven hundred ninety-one thousand, nine hundred sixty".