34794662400 has 480 divisors, whose sum is σ = 129358595520. Its totient is φ = 9159229440.

The previous prime is 34794662393. The next prime is 34794662417. The reversal of 34794662400 is 426649743.

It is a happy number.

34794662400 is a `hidden beast` number, since 347 + 9 + 4 + 66 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28684194 + ... + 28685406.

It is an arithmetic number, because the mean of its divisors is an integer number (269497074).

Almost surely, 2^34794662400 is an apocalyptic number.

34794662400 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 34794662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64679297760).

34794662400 is an abundant number, since it is smaller than the sum of its proper divisors (94563933120).

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

34794662400 is a wasteful number, since it uses less digits than its factorization.

34794662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 34794662400 in words is "thirty-four billion, seven hundred ninety-four million, six hundred sixty-two thousand, four hundred".