34470412800 has 480 divisors, whose sum is σ = 122752143360. Its totient is φ = 8502067200.

The previous prime is 34470412799. The next prime is 34470412829. The reversal of 34470412800 is 821407443.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27378571 + ... + 27379829.

It is an arithmetic number, because the mean of its divisors is an integer number (255733632).

Almost surely, 2^34470412800 is an apocalyptic number.

34470412800 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 34470412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61376071680).

34470412800 is an abundant number, since it is smaller than the sum of its proper divisors (88281730560).

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

34470412800 is a wasteful number, since it uses less digits than its factorization.

34470412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 34470412800 in words is "thirty-four billion, four hundred seventy million, four hundred twelve thousand, eight hundred".