34026270720 has 624 divisors, whose sum is σ = 123034062240. Its totient is φ = 8015314944.

The previous prime is 34026270713. The next prime is 34026270739. The reversal of 34026270720 is 2707262043.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×34026270720² (a number of 22 digits) contains 22 as substring.

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, 301117384 + ... + 301117496.

Almost surely, 2^34026270720 is an apocalyptic number.

34026270720 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 34026270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61517031120).

34026270720 is an abundant number, since it is smaller than the sum of its proper divisors (89007791520).

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

34026270720 is a wasteful number, since it uses less digits than its factorization.

34026270720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The spelling of 34026270720 in words is "thirty-four billion, twenty-six million, two hundred seventy thousand, seven hundred twenty".