3345477258240 has 704 divisors, whose sum is σ = 12824954795520. Its totient is φ = 822140928000.

The previous prime is 3345477258187. The next prime is 3345477258251. The reversal of 3345477258240 is 428527745433.

3345477258240 is a `hidden beast` number, since 3 + 3 + 4 + 54 + 7 + 7 + 2 + 582 + 4 + 0 = 666.

3345477258240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3345477258240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1486217115 + ... + 1486219365.

Almost surely, 2^{3345477258240} is an apocalyptic number.

3345477258240 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 3345477258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6412477397760).

3345477258240 is an abundant number, since it is smaller than the sum of its proper divisors (9479477537280).

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

3345477258240 is a wasteful number, since it uses less digits than its factorization.

3345477258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 54.

The spelling of 3345477258240 in words is "three trillion, three hundred forty-five billion, four hundred seventy-seven million, two hundred fifty-eight thousand, two hundred forty".