34080523560 has 192 divisors, whose sum is σ = 117520865280. Its totient is φ = 8535767040.

The previous prime is 34080523429. The next prime is 34080523571. The reversal of 34080523560 is 6532508043.

It is a happy number.

34080523560 is a `hidden beast` number, since 3 + 4 + 0 + 80 + 523 + 56 + 0 = 666.

It is a super-2 number, since 2×34080523560² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3072825 + ... + 3083895.

It is an arithmetic number, because the mean of its divisors is an integer number (612087840).

Almost surely, 2^34080523560 is an apocalyptic number.

34080523560 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 34080523560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58760432640).

34080523560 is an abundant number, since it is smaller than the sum of its proper divisors (83440341720).

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

34080523560 is a wasteful number, since it uses less digits than its factorization.

34080523560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11608 (or 11601 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 34080523560 in words is "thirty-four billion, eighty million, five hundred twenty-three thousand, five hundred sixty".