34069351680 has 1440 divisors, whose sum is σ = 157559238144. Its totient is φ = 6831931392.

The previous prime is 34069351669. The next prime is 34069351691. The reversal of 34069351680 is 8615396043.

34069351680 is a `hidden beast` number, since 3 + 40 + 6 + 93 + 516 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34069351669) and next prime (34069351691).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 4710 × 1638 × 4416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 217002162 + ... + 217002318.

Almost surely, 2^34069351680 is an apocalyptic number.

34069351680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34069351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78779619072).

34069351680 is an abundant number, since it is smaller than the sum of its proper divisors (123489886464).

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

34069351680 is a wasteful number, since it uses less digits than its factorization.

34069351680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 34069351680 in words is "thirty-four billion, sixty-nine million, three hundred fifty-one thousand, six hundred eighty".