3342509280 has 384 divisors, whose sum is σ = 13179801600. Its totient is φ = 783820800.

The previous prime is 3342509267. The next prime is 3342509309. The reversal of 3342509280 is 829052433.

3342509280 is a `hidden beast` number, since 33 + 42 + 509 + 2 + 80 = 666.

It is a super-2 number, since 2×3342509280² = 22344736573772236800, 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, 1471986 + ... + 1474254.

It is an arithmetic number, because the mean of its divisors is an integer number (34322400).

Almost surely, 2^3342509280 is an apocalyptic number.

3342509280 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 3342509280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589900800).

3342509280 is an abundant number, since it is smaller than the sum of its proper divisors (9837292320).

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

3342509280 is a wasteful number, since it uses less digits than its factorization.

3342509280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2321 counting only the distinct ones).

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

The square root of 3342509280 is about 57814.4383350734. The cubic root of 3342509280 is about 1495.1710307196.

The spelling of 3342509280 in words is "three billion, three hundred forty-two million, five hundred nine thousand, two hundred eighty".