3364615456 has 48 divisors (see below), whose sum is σ = 6982718400. Its totient is φ = 1591481088.

The previous prime is 3364615439. The next prime is 3364615481. The reversal of 3364615456 is 6545164633.

It is a super-2 number, since 2×3364615456² = 22641274333508175872, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466405 + ... + 473563.

It is an arithmetic number, because the mean of its divisors is an integer number (145473300).

Almost surely, 2^3364615456 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 3364615456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491359200).

3364615456 is an abundant number, since it is smaller than the sum of its proper divisors (3618102944).

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

3364615456 is a wasteful number, since it uses less digits than its factorization.

3364615456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7961 (or 7953 counting only the distinct ones).

The product of its digits is 777600, while the sum is 43.

The square root of 3364615456 is about 58005.3054125224. The cubic root of 3364615456 is about 1498.4599684467.

The spelling of 3364615456 in words is "three billion, three hundred sixty-four million, six hundred fifteen thousand, four hundred fifty-six".