3345392931840 has 1408 divisors, whose sum is σ = 13141464883200. Its totient is φ = 803293102080.

The previous prime is 3345392931817. The next prime is 3345392931847. The reversal of 3345392931840 is 481392935433.

3345392931840 is a `hidden beast` number, since 3 + 3 + 4 + 539 + 2 + 93 + 18 + 4 + 0 = 666.

It is a super-2 number, since 2×3345392931840² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3345392931847) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13017092992 + ... + 13017093248.

Almost surely, 2^{3345392931840} is an apocalyptic number.

3345392931840 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 3345392931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6570732441600).

3345392931840 is an abundant number, since it is smaller than the sum of its proper divisors (9796071951360).

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

3345392931840 is a wasteful number, since it uses less digits than its factorization.

3345392931840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 3345392931840 in words is "three trillion, three hundred forty-five billion, three hundred ninety-two million, nine hundred thirty-one thousand, eight hundred forty".