3475959712380 has 288 divisors, whose sum is σ = 11406552917760. Its totient is φ = 853918018560.

The previous prime is 3475959712331. The next prime is 3475959712391. The reversal of 3475959712380 is 832179595743.

3475959712380 is a `hidden beast` number, since 3 + 4 + 7 + 5 + 9 + 597 + 1 + 2 + 38 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43007167 + ... + 43087913.

It is an arithmetic number, because the mean of its divisors is an integer number (39606086520).

Almost surely, 2^{3475959712380} is an apocalyptic number.

3475959712380 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 3475959712380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703276458880).

3475959712380 is an abundant number, since it is smaller than the sum of its proper divisors (7930593205380).

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

3475959712380 is a wasteful number, since it uses less digits than its factorization.

3475959712380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81129 (or 81124 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 3475959712380 in words is "three trillion, four hundred seventy-five billion, nine hundred fifty-nine million, seven hundred twelve thousand, three hundred eighty".