34029470880 has 288 divisors, whose sum is σ = 117963832896. Its totient is φ = 8932073472.

The previous prime is 34029470869. The next prime is 34029470921. The reversal of 34029470880 is 8807492043.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×34029470880³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 26522719 + ... + 26524001.

It is an arithmetic number, because the mean of its divisors is an integer number (409596642).

Almost surely, 2^34029470880 is an apocalyptic number.

34029470880 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 34029470880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58981916448).

34029470880 is an abundant number, since it is smaller than the sum of its proper divisors (83934362016).

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

34029470880 is a wasteful number, since it uses less digits than its factorization.

34029470880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 34029470880 in words is "thirty-four billion, twenty-nine million, four hundred seventy thousand, eight hundred eighty".