34861317120 has 1056 divisors, whose sum is σ = 149110161408. Its totient is φ = 7357464576.

The previous prime is 34861317109. The next prime is 34861317131. The reversal of 34861317120 is 2171316843.

It is a happy number.

34861317120 is a `hidden beast` number, since 3 + 4 + 8 + 613 + 17 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (34861317109) and next prime (34861317131).

It is a super-2 number, since 2×34861317120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 274498497 + ... + 274498623.

Almost surely, 2^34861317120 is an apocalyptic number.

34861317120 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 34861317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74555080704).

34861317120 is an abundant number, since it is smaller than the sum of its proper divisors (114248844288).

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

34861317120 is a wasteful number, since it uses less digits than its factorization.

34861317120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 34861317120 in words is "thirty-four billion, eight hundred sixty-one million, three hundred seventeen thousand, one hundred twenty".