34268267670 has 256 divisors, whose sum is σ = 103064113152. Its totient is φ = 7100006400.

The previous prime is 34268267641. The next prime is 34268267699. The reversal of 34268267670 is 7676286243.

It is an interprime number because it is at equal distance from previous prime (34268267641) and next prime (34268267699).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39985882 + ... + 39986738.

It is an arithmetic number, because the mean of its divisors is an integer number (402594192).

Almost surely, 2^34268267670 is an apocalyptic number.

34268267670 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 34268267670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51532056576).

34268267670 is an abundant number, since it is smaller than the sum of its proper divisors (68795845482).

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

34268267670 is a wasteful number, since it uses less digits than its factorization.

34268267670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135.

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 34268267670 in words is "thirty-four billion, two hundred sixty-eight million, two hundred sixty-seven thousand, six hundred seventy".