34024488960 has 1024 divisors, whose sum is σ = 144952934400. Its totient is φ = 6606028800.

The previous prime is 34024488889. The next prime is 34024488997. The reversal of 34024488960 is 6988442043.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1097564145 + ... + 1097564175.

It is an arithmetic number, because the mean of its divisors is an integer number (141555600).

Almost surely, 2^34024488960 is an apocalyptic number.

34024488960 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 34024488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72476467200).

34024488960 is an abundant number, since it is smaller than the sum of its proper divisors (110928445440).

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

34024488960 is a wasteful number, since it uses less digits than its factorization.

34024488960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 34024488960 in words is "thirty-four billion, twenty-four million, four hundred eighty-eight thousand, nine hundred sixty".