3378558384 has 80 divisors (see below), whose sum is σ = 9788480640. Its totient is φ = 1115645760.

The previous prime is 3378558371. The next prime is 3378558431. The reversal of 3378558384 is 4838558733.

3378558384 is a `hidden beast` number, since 3 + 3 + 7 + 8 + 558 + 3 + 84 = 666.

It is a super-2 number, since 2×3378558384² = 22829313508193382912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3378558384.

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, 9679 + ... + 82769.

It is an arithmetic number, because the mean of its divisors is an integer number (122356008).

Almost surely, 2^3378558384 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 3378558384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4894240320).

3378558384 is an abundant number, since it is smaller than the sum of its proper divisors (6409922256).

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

3378558384 is a wasteful number, since it uses less digits than its factorization.

3378558384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73215 (or 73203 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 3378558384 is about 58125.3678181911. The cubic root of 3378558384 is about 1500.5269828377.

The spelling of 3378558384 in words is "three billion, three hundred seventy-eight million, five hundred fifty-eight thousand, three hundred eighty-four".