34743394560 has 288 divisors, whose sum is σ = 129766855680. Its totient is φ = 7756406784.

The previous prime is 34743394559. The next prime is 34743394589. The reversal of 34743394560 is 6549334743.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1140811 + ... + 1170869.

It is an arithmetic number, because the mean of its divisors is an integer number (450579360).

Almost surely, 2^34743394560 is an apocalyptic number.

34743394560 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 34743394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64883427840).

34743394560 is an abundant number, since it is smaller than the sum of its proper divisors (95023461120).

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

34743394560 is a wasteful number, since it uses less digits than its factorization.

34743394560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30133 (or 30119 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 48.

The spelling of 34743394560 in words is "thirty-four billion, seven hundred forty-three million, three hundred ninety-four thousand, five hundred sixty".