3613417456 has 80 divisors (see below), whose sum is σ = 8130336768. Its totient is φ = 1537510400.

The previous prime is 3613417427. The next prime is 3613417463. The reversal of 3613417456 is 6547143163.

It is a super-2 number, since 2×3613417456² = 26113571422651023872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568311 + ... + 574633.

Almost surely, 2^3613417456 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 3613417456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065168384).

3613417456 is an abundant number, since it is smaller than the sum of its proper divisors (4516919312).

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

3613417456 is a wasteful number, since it uses less digits than its factorization.

3613417456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6550 (or 6544 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The square root of 3613417456 is about 60111.7081440879. The cubic root of 3613417456 is about 1534.5205639826.

The spelling of 3613417456 in words is "three billion, six hundred thirteen million, four hundred seventeen thousand, four hundred fifty-six".