3378564640 has 96 divisors (see below), whose sum is σ = 8763660864. Its totient is φ = 1220643840.

The previous prime is 3378564619. The next prime is 3378564647. The reversal of 3378564640 is 464658733.

It is a super-2 number, since 2×3378564640² = 22829398053316659200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3378564647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270207 + ... + 282433.

It is an arithmetic number, because the mean of its divisors is an integer number (91288134).

Almost surely, 2^3378564640 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 3378564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381830432).

3378564640 is an abundant number, since it is smaller than the sum of its proper divisors (5385096224).

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

3378564640 is a wasteful number, since it uses less digits than its factorization.

3378564640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12410 (or 12402 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 46.

The square root of 3378564640 is about 58125.4216328794. The cubic root of 3378564640 is about 1500.5279090011.

The spelling of 3378564640 in words is "three billion, three hundred seventy-eight million, five hundred sixty-four thousand, six hundred forty".