3359008224 has 384 divisors, whose sum is σ = 11894722560. Its totient is φ = 908236800.

The previous prime is 3359008199. The next prime is 3359008231. The reversal of 3359008224 is 4228009533.

It is a super-2 number, since 2×3359008224² = 22565872497799268352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3829674 + ... + 3830550.

It is an arithmetic number, because the mean of its divisors is an integer number (30975840).

Almost surely, 2^3359008224 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 3359008224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5947361280).

3359008224 is an abundant number, since it is smaller than the sum of its proper divisors (8535714336).

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

3359008224 is a wasteful number, since it uses less digits than its factorization.

3359008224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3359008224 is about 57956.9514726232. The cubic root of 3359008224 is about 1497.6270961978.

The spelling of 3359008224 in words is "three billion, three hundred fifty-nine million, eight thousand, two hundred twenty-four".