34010286100245 has 512 divisors, whose sum is σ = 78320922624000. Its totient is φ = 13609732866048.

The previous prime is 34010286100213. The next prime is 34010286100261. The reversal of 34010286100245 is 54200168201043.

It is a happy number.

34010286100245 is a `hidden beast` number, since 3 + 4 + 0 + 10 + 2 + 8 + 610 + 0 + 24 + 5 = 666.

It is not a de Polignac number, because 34010286100245 - 2⁵ = 34010286100213 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 19032056242 + ... + 19032058028.

It is an arithmetic number, because the mean of its divisors is an integer number (152970552000).

Almost surely, 2^{34010286100245} is an apocalyptic number.

34010286100245 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34010286100245 is an abundant number, since it is smaller than the sum of its proper divisors (44310636523755).

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

34010286100245 is a wasteful number, since it uses less digits than its factorization.

34010286100245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 34010286100245 in words is "thirty-four trillion, ten billion, two hundred eighty-six million, one hundred thousand, two hundred forty-five".