3455978807295 has 128 divisors (see below), whose sum is σ = 7186467225600. Its totient is φ = 1542941329536.

The previous prime is 3455978807291. The next prime is 3455978807317. The reversal of 3455978807295 is 5927088795543.

3455978807295 is a `hidden beast` number, since 3 + 4 + 5 + 597 + 8 + 8 + 0 + 7 + 29 + 5 = 666.

It is not a de Polignac number, because 3455978807295 - 2² = 3455978807291 is a prime.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3455978807291) 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, 20658496 + ... + 20825114.

It is an arithmetic number, because the mean of its divisors is an integer number (56144275200).

Almost surely, 2^{3455978807295} is an apocalyptic number.

3455978807295 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3455978807295 is an abundant number, since it is smaller than the sum of its proper divisors (3730488418305).

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

3455978807295 is a wasteful number, since it uses less digits than its factorization.

3455978807295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167154 (or 167148 counting only the distinct ones).

The product of its (nonzero) digits is 762048000, while the sum is 72.

The spelling of 3455978807295 in words is "three trillion, four hundred fifty-five billion, nine hundred seventy-eight million, eight hundred seven thousand, two hundred ninety-five".