3455837095680 has 216 divisors, whose sum is σ = 12660180401232. Its totient is φ = 867347300352.

The previous prime is 3455837095673. The next prime is 3455837095717. The reversal of 3455837095680 is 865907385543.

3455837095680 is a `hidden beast` number, since 3 + 4 + 558 + 3 + 70 + 9 + 5 + 6 + 8 + 0 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 8627274 + ... + 9018953.

It is an arithmetic number, because the mean of its divisors is an integer number (58611946302).

Almost surely, 2^{3455837095680} is an apocalyptic number.

3455837095680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3455837095680 is an abundant number, since it is smaller than the sum of its proper divisors (9204343305552).

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

3455837095680 is a wasteful number, since it uses less digits than its factorization.

3455837095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17646271 (or 17646254 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 3455837095680 in words is "three trillion, four hundred fifty-five billion, eight hundred thirty-seven million, ninety-five thousand, six hundred eighty".