3474613296 has 240 divisors, whose sum is σ = 12762397440. Its totient is φ = 854945280.

The previous prime is 3474613249. The next prime is 3474613297. The reversal of 3474613296 is 6923164743.

3474613296 is a `hidden beast` number, since 3 + 4 + 7 + 4 + 613 + 29 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3474613297) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202426 + ... + 218918.

It is an arithmetic number, because the mean of its divisors is an integer number (53176656).

Almost surely, 2^3474613296 is an apocalyptic number.

3474613296 is a gapful number since it is divisible by the number (36) 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 3474613296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6381198720).

3474613296 is an abundant number, since it is smaller than the sum of its proper divisors (9287784144).

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

3474613296 is a wasteful number, since it uses less digits than its factorization.

3474613296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16544 (or 16535 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 3474613296 is about 58945.8505409838. The cubic root of 3474613296 is about 1514.6146704892.

The spelling of 3474613296 in words is "three billion, four hundred seventy-four million, six hundred thirteen thousand, two hundred ninety-six".