34509316860 has 144 divisors (see below), whose sum is σ = 106277554656. Its totient is φ = 9062908416.

The previous prime is 34509316813. The next prime is 34509316861. The reversal of 34509316860 is 6861390543.

34509316860 = T₂₅₃₄₄ + T₂₅₃₄₅ + ... + T₂₅₄₅₀.

34509316860 is a `hidden beast` number, since 34 + 509 + 31 + 6 + 86 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34509316861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3326802 + ... + 3337158.

It is an arithmetic number, because the mean of its divisors is an integer number (738038574).

Almost surely, 2^34509316860 is an apocalyptic number.

34509316860 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 34509316860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53138777328).

34509316860 is an abundant number, since it is smaller than the sum of its proper divisors (71768237796).

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

34509316860 is a wasteful number, since it uses less digits than its factorization.

34509316860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10652 (or 10647 counting only the distinct ones).

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

The spelling of 34509316860 in words is "thirty-four billion, five hundred nine million, three hundred sixteen thousand, eight hundred sixty".