3457255258080 has 960 divisors, whose sum is σ = 13375756836288. Its totient is φ = 835876454400.

The previous prime is 3457255258021. The next prime is 3457255258109. The reversal of 3457255258080 is 808525527543.

It is a happy number.

3457255258080 is a `hidden beast` number, since 3 + 4 + 5 + 7 + 2 + 5 + 52 + 580 + 8 + 0 = 666.

It is a super-2 number, since 2×3457255258080² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2331257019 + ... + 2331258501.

Almost surely, 2^{3457255258080} is an apocalyptic number.

3457255258080 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 3457255258080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6687878418144).

3457255258080 is an abundant number, since it is smaller than the sum of its proper divisors (9918501578208).

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

3457255258080 is a wasteful number, since it uses less digits than its factorization.

3457255258080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 13440000, while the sum is 54.

The spelling of 3457255258080 in words is "three trillion, four hundred fifty-seven billion, two hundred fifty-five million, two hundred fifty-eight thousand, eighty".