3349284120 has 512 divisors, whose sum is σ = 14021683200. Its totient is φ = 692250624.

The previous prime is 3349284101. The next prime is 3349284149. The reversal of 3349284120 is 214829433.

It is a super-2 number, since 2×3349284120² = 22435408232968348800, 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 127 ways as a sum of consecutive naturals, for example, 5208519 + ... + 5209161.

It is an arithmetic number, because the mean of its divisors is an integer number (27386100).

Almost surely, 2^3349284120 is an apocalyptic number.

3349284120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3349284120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7010841600).

3349284120 is an abundant number, since it is smaller than the sum of its proper divisors (10672399080).

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

3349284120 is a wasteful number, since it uses less digits than its factorization.

3349284120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3349284120 is about 57872.9999222435. Note that the first 4 decimals coincide. The cubic root of 3349284120 is about 1496.1805226500.

The spelling of 3349284120 in words is "three billion, three hundred forty-nine million, two hundred eighty-four thousand, one hundred twenty".