3347922240 has 448 divisors, whose sum is σ = 13047390720. Its totient is φ = 802897920.

The previous prime is 3347922229. The next prime is 3347922257. The reversal of 3347922240 is 422297433.

It is a happy number.

3347922240 is a `hidden beast` number, since 3 + 347 + 92 + 224 + 0 = 666.

It is a super-2 number, since 2×3347922240² = 22417166650173235200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3347922195 and 3347922204.

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, 4604757 + ... + 4605483.

It is an arithmetic number, because the mean of its divisors is an integer number (29123640).

Almost surely, 2^3347922240 is an apocalyptic number.

3347922240 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 3347922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6523695360).

3347922240 is an abundant number, since it is smaller than the sum of its proper divisors (9699468480).

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

3347922240 is a wasteful number, since it uses less digits than its factorization.

3347922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3347922240 is about 57861.2326173579. The cubic root of 3347922240 is about 1495.9777037294.

The spelling of 3347922240 in words is "three billion, three hundred forty-seven million, nine hundred twenty-two thousand, two hundred forty".