3345914780370 has 96 divisors (see below), whose sum is σ = 8914244451840. Its totient is φ = 870219521280.

The previous prime is 3345914780317. The next prime is 3345914780393. The reversal of 3345914780370 is 730874195433.

3345914780370 is a `hidden beast` number, since 3 + 3 + 4 + 59 + 147 + 80 + 370 = 666.

It is a super-2 number, since 2×3345914780370² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12259737 + ... + 12529683.

It is an arithmetic number, because the mean of its divisors is an integer number (92856713040).

Almost surely, 2^{3345914780370} is an apocalyptic number.

3345914780370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3345914780370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457122225920).

3345914780370 is an abundant number, since it is smaller than the sum of its proper divisors (5568329671470).

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

3345914780370 is a wasteful number, since it uses less digits than its factorization.

3345914780370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273360 (or 273357 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 3345914780370 in words is "three trillion, three hundred forty-five billion, nine hundred fourteen million, seven hundred eighty thousand, three hundred seventy".