34493506560 has 440 divisors, whose sum is σ = 127640046336. Its totient is φ = 8898232320.

The previous prime is 34493506559. The next prime is 34493506573. The reversal of 34493506560 is 6560539443.

34493506560 is a `hidden beast` number, since 3 + 4 + 4 + 93 + 506 + 56 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12854979 + ... + 12857661.

Almost surely, 2^34493506560 is an apocalyptic number.

34493506560 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 34493506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63820023168).

34493506560 is an abundant number, since it is smaller than the sum of its proper divisors (93146539776).

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

34493506560 is a wasteful number, since it uses less digits than its factorization.

34493506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 34493506560 in words is "thirty-four billion, four hundred ninety-three million, five hundred six thousand, five hundred sixty".