34801166400 has 672 divisors, whose sum is σ = 153321520128. Its totient is φ = 6674227200.

The previous prime is 34801166371. The next prime is 34801166419. The reversal of 34801166400 is 466110843.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×34801166400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 95 ways as a sum of consecutive naturals, for example, 4801179 + ... + 4808421.

It is an arithmetic number, because the mean of its divisors is an integer number (228157024).

Almost surely, 2^34801166400 is an apocalyptic number.

34801166400 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 34801166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76660760064).

34801166400 is an abundant number, since it is smaller than the sum of its proper divisors (118520353728).

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

34801166400 is a wasteful number, since it uses less digits than its factorization.

34801166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7299 (or 7284 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 34801166400 in words is "thirty-four billion, eight hundred one million, one hundred sixty-six thousand, four hundred".