34794748800 has 960 divisors, whose sum is σ = 148878090240. Its totient is φ = 7838208000.

The previous prime is 34794748799. The next prime is 34794748817. The reversal of 34794748800 is 884749743.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 230428725 + ... + 230428875.

It is an arithmetic number, because the mean of its divisors is an integer number (155081344).

Almost surely, 2^34794748800 is an apocalyptic number.

34794748800 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 34794748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74439045120).

34794748800 is an abundant number, since it is smaller than the sum of its proper divisors (114083341440).

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

34794748800 is a wasteful number, since it uses less digits than its factorization.

34794748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 34794748800 in words is "thirty-four billion, seven hundred ninety-four million, seven hundred forty-eight thousand, eight hundred".