34618118400 has 324 divisors, whose sum is σ = 125478271828. Its totient is φ = 9103933440.

The previous prime is 34618118399. The next prime is 34618118459. The reversal of 34618118400 is 481181643.

It is a happy number.

34618118400 is a `hidden beast` number, since 34 + 618 + 1 + 1 + 8 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2511212544 + 32106905856 = 50112^2 + 179184^2 .

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 35 ways as a sum of consecutive naturals, for example, 4200684 + ... + 4208916.

Almost surely, 2^34618118400 is an apocalyptic number.

34618118400 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 34618118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62739135914).

34618118400 is an abundant number, since it is smaller than the sum of its proper divisors (90860153428).

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

34618118400 is a wasteful number, since it uses less digits than its factorization.

34618118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8338 (or 8316 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 34618118400 in words is "thirty-four billion, six hundred eighteen million, one hundred eighteen thousand, four hundred".