34542678600 has 144 divisors (see below), whose sum is σ = 117640149120. Its totient is φ = 9081609600.

The previous prime is 34542678479. The next prime is 34542678631. The reversal of 34542678600 is 687624543.

34542678600 is a `hidden beast` number, since 34 + 5 + 4 + 2 + 6 + 7 + 8 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7344 + ... + 262943.

It is an arithmetic number, because the mean of its divisors is an integer number (816945480).

Almost surely, 2^34542678600 is an apocalyptic number.

34542678600 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 34542678600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58820074560).

34542678600 is an abundant number, since it is smaller than the sum of its proper divisors (83097470520).

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

34542678600 is a wasteful number, since it uses less digits than its factorization.

34542678600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270380 (or 270368 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 34542678600 in words is "thirty-four billion, five hundred forty-two million, six hundred seventy-eight thousand, six hundred".