3343107456 has 384 divisors, whose sum is σ = 11286912000. Its totient is φ = 940584960.

The previous prime is 3343107451. The next prime is 3343107457. The reversal of 3343107456 is 6547013433.

3343107456 is a `hidden beast` number, since 334 + 310 + 7 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3343107456² = 22352734924725583872, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3343107456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3343107451) by changing a digit.

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, 8820675 + ... + 8821053.

It is an arithmetic number, because the mean of its divisors is an integer number (29393000).

Almost surely, 2^3343107456 is an apocalyptic number.

3343107456 is a gapful number since it is divisible by the number (36) 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 3343107456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5643456000).

3343107456 is an abundant number, since it is smaller than the sum of its proper divisors (7943804544).

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

3343107456 is a wasteful number, since it uses less digits than its factorization.

3343107456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 3343107456 is about 57819.6113442489. The cubic root of 3343107456 is about 1495.2602174158.

The spelling of 3343107456 in words is "three billion, three hundred forty-three million, one hundred seven thousand, four hundred fifty-six".