3378563584 has 80 divisors (see below), whose sum is σ = 7752048480. Its totient is φ = 1454837760.

The previous prime is 3378563579. The next prime is 3378563659. The reversal of 3378563584 is 4853658733.

It is a super-2 number, since 2×3378563584² = 22829383782261850112, 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, 91222 + ... + 122794.

It is an arithmetic number, because the mean of its divisors is an integer number (96900606).

Almost surely, 2^3378563584 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 3378563584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3876024240).

3378563584 is an abundant number, since it is smaller than the sum of its proper divisors (4373484896).

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

3378563584 is a wasteful number, since it uses less digits than its factorization.

3378563584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31621 (or 31605 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 52.

The square root of 3378563584 is about 58125.4125490736. The cubic root of 3378563584 is about 1500.5277526667.

The spelling of 3378563584 in words is "three billion, three hundred seventy-eight million, five hundred sixty-three thousand, five hundred eighty-four".