34457240840 has 128 divisors (see below), whose sum is σ = 90632545920. Its totient is φ = 11650560000.

The previous prime is 34457240837. The next prime is 34457240843. The reversal of 34457240840 is 4804275443.

34457240840 is nontrivially palindromic in base 16.

It is an interprime number because it is at equal distance from previous prime (34457240837) and next prime (34457240843).

It is a super-3 number, since 3×34457240840³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34457240843) 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, 593090 + ... + 648590.

It is an arithmetic number, because the mean of its divisors is an integer number (708066765).

Almost surely, 2^34457240840 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 34457240840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45316272960).

34457240840 is an abundant number, since it is smaller than the sum of its proper divisors (56175305080).

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

34457240840 is a wasteful number, since it uses less digits than its factorization.

34457240840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55623 (or 55619 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 41.

The spelling of 34457240840 in words is "thirty-four billion, four hundred fifty-seven million, two hundred forty thousand, eight hundred forty".