34053440160 has 192 divisors, whose sum is σ = 109756684800. Its totient is φ = 8871002112.

The previous prime is 34053440159. The next prime is 34053440171. The reversal of 34053440160 is 6104435043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15993976 + ... + 15996104.

It is an arithmetic number, because the mean of its divisors is an integer number (571649400).

Almost surely, 2^34053440160 is an apocalyptic number.

34053440160 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 34053440160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54878342400).

34053440160 is an abundant number, since it is smaller than the sum of its proper divisors (75703244640).

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

34053440160 is a wasteful number, since it uses less digits than its factorization.

34053440160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 34053440160 in words is "thirty-four billion, fifty-three million, four hundred forty thousand, one hundred sixty".