3474460770000 has 400 divisors, whose sum is σ = 12257754263040. Its totient is φ = 840772800000.

The previous prime is 3474460769959. The next prime is 3474460770037. The reversal of 3474460770000 is 770644743.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 188420781 + ... + 188439219.

Almost surely, 2^{3474460770000} is an apocalyptic number.

3474460770000 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 3474460770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128877131520).

3474460770000 is an abundant number, since it is smaller than the sum of its proper divisors (8783293493040).

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

3474460770000 is a wasteful number, since it uses less digits than its factorization.

3474460770000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19052 (or 19031 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 42.

The spelling of 3474460770000 in words is "three trillion, four hundred seventy-four billion, four hundred sixty million, seven hundred seventy thousand".