34349253120 has 1280 divisors, whose sum is σ = 154870087680. Its totient is φ = 7023034368.

The previous prime is 34349253091. The next prime is 34349253121. The reversal of 34349253120 is 2135294343.

34349253120 is a `hidden beast` number, since 3 + 4 + 34 + 92 + 531 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is not an unprimeable number, because it can be changed into a prime (34349253121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 270466497 + ... + 270466623.

It is an arithmetic number, because the mean of its divisors is an integer number (120992256).

Almost surely, 2^34349253120 is an apocalyptic number.

34349253120 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 34349253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77435043840).

34349253120 is an abundant number, since it is smaller than the sum of its proper divisors (120520834560).

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

34349253120 is a wasteful number, since it uses less digits than its factorization.

34349253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 34349253120 in words is "thirty-four billion, three hundred forty-nine million, two hundred fifty-three thousand, one hundred twenty".