34027150080 has 576 divisors, whose sum is σ = 136538938368. Its totient is φ = 7015956480.

The previous prime is 34027150057. The next prime is 34027150111. The reversal of 34027150080 is 8005172043.

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

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, 46421394 + ... + 46422126.

It is an arithmetic number, because the mean of its divisors is an integer number (237046768).

Almost surely, 2^34027150080 is an apocalyptic number.

34027150080 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 34027150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68269469184).

34027150080 is an abundant number, since it is smaller than the sum of its proper divisors (102511788288).

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

34027150080 is a wasteful number, since it uses less digits than its factorization.

34027150080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 34027150080 in words is "thirty-four billion, twenty-seven million, one hundred fifty thousand, eighty".