3475788940272 has 240 divisors, whose sum is σ = 10201112087040. Its totient is φ = 1018432757760.

The previous prime is 3475788940259. The next prime is 3475788940321. The reversal of 3475788940272 is 2720498875743.

It is a super-4 number, since 4×3475788940272⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22580304 + ... + 22733712.

It is an arithmetic number, because the mean of its divisors is an integer number (42504633696).

Almost surely, 2^{3475788940272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3475788940272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5100556043520).

3475788940272 is an abundant number, since it is smaller than the sum of its proper divisors (6725323146768).

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

3475788940272 is a wasteful number, since it uses less digits than its factorization.

3475788940272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153572 (or 153555 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 66.

The spelling of 3475788940272 in words is "three trillion, four hundred seventy-five billion, seven hundred eighty-eight million, nine hundred forty thousand, two hundred seventy-two".