34642546560 has 448 divisors, whose sum is σ = 127267958160. Its totient is φ = 9007718400.

The previous prime is 34642546553. The next prime is 34642546567. The reversal of 34642546560 is 6564524643.

It is a happy number.

34642546560 is a `hidden beast` number, since 3 + 4 + 6 + 42 + 5 + 46 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (34642546553) and next prime (34642546567).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34642546567) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 19128055 + ... + 19129865.

Almost surely, 2^34642546560 is an apocalyptic number.

34642546560 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 34642546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63633979080).

34642546560 is an abundant number, since it is smaller than the sum of its proper divisors (92625411600).

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

34642546560 is an equidigital number, since it uses as much as digits as its factorization.

34642546560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 34642546560 in words is "thirty-four billion, six hundred forty-two million, five hundred forty-six thousand, five hundred sixty".