34341723360 has 384 divisors, whose sum is σ = 138431462400. Its totient is φ = 7788718080.

The previous prime is 34341723323. The next prime is 34341723439. The reversal of 34341723360 is 6332714343.

34341723360 is a `hidden beast` number, since 3 + 4 + 3 + 417 + 233 + 6 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 3957106 + ... + 3965774.

It is an arithmetic number, because the mean of its divisors is an integer number (360498600).

Almost surely, 2^34341723360 is an apocalyptic number.

34341723360 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 34341723360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69215731200).

34341723360 is an abundant number, since it is smaller than the sum of its proper divisors (104089739040).

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

34341723360 is a wasteful number, since it uses less digits than its factorization.

34341723360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8831 (or 8817 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 34341723360 in words is "thirty-four billion, three hundred forty-one million, seven hundred twenty-three thousand, three hundred sixty".