34256217870 has 192 divisors, whose sum is σ = 106266940416. Its totient is φ = 7777555200.

The previous prime is 34256217841. The next prime is 34256217887. The reversal of 34256217870 is 7871265243.

34256217870 is a `hidden beast` number, since 3 + 4 + 2 + 562 + 1 + 7 + 87 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2561842 + ... + 2575178.

It is an arithmetic number, because the mean of its divisors is an integer number (553473648).

Almost surely, 2^34256217870 is an apocalyptic number.

34256217870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34256217870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53133470208).

34256217870 is an abundant number, since it is smaller than the sum of its proper divisors (72010722546).

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

34256217870 is a wasteful number, since it uses less digits than its factorization.

34256217870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13517 (or 13505 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 34256217870 in words is "thirty-four billion, two hundred fifty-six million, two hundred seventeen thousand, eight hundred seventy".