34457238620 has 96 divisors (see below), whose sum is σ = 84048814080. Its totient is φ = 11621594880.

The previous prime is 34457238619. The next prime is 34457238623. The reversal of 34457238620 is 2683275443.

34457238620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×34457238620⁴ (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34457238623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4757642 + ... + 4764878.

It is an arithmetic number, because the mean of its divisors is an integer number (875508480).

Almost surely, 2^34457238620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34457238620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42024407040).

34457238620 is an abundant number, since it is smaller than the sum of its proper divisors (49591575460).

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

34457238620 is a wasteful number, since it uses less digits than its factorization.

34457238620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7803 (or 7801 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 44.

The spelling of 34457238620 in words is "thirty-four billion, four hundred fifty-seven million, two hundred thirty-eight thousand, six hundred twenty".