3343380480 has 624 divisors, whose sum is σ = 13524192864. Its totient is φ = 754974720.

The previous prime is 3343380457. The next prime is 3343380517. The reversal of 3343380480 is 840833433.

It is a super-2 number, since 2×3343380480² = 22356386068090060800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34467792 + ... + 34467888.

It is an arithmetic number, because the mean of its divisors is an integer number (21673386).

Almost surely, 2^3343380480 is an apocalyptic number.

3343380480 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 3343380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6762096432).

3343380480 is an abundant number, since it is smaller than the sum of its proper divisors (10180812384).

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

3343380480 is a wasteful number, since it uses less digits than its factorization.

3343380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3343380480 is about 57821.9722942758. The cubic root of 3343380480 is about 1495.3009211441.

The spelling of 3343380480 in words is "three billion, three hundred forty-three million, three hundred eighty thousand, four hundred eighty".