34458737820 has 192 divisors, whose sum is σ = 112044764160. Its totient is φ = 7839590400.

The previous prime is 34458737759. The next prime is 34458737849. The reversal of 34458737820 is 2873785443.

It is a super-2 number, since 2×34458737820² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 579265 + ... + 635975.

It is an arithmetic number, because the mean of its divisors is an integer number (583566480).

Almost surely, 2^34458737820 is an apocalyptic number.

34458737820 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 34458737820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56022382080).

34458737820 is an abundant number, since it is smaller than the sum of its proper divisors (77586026340).

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

34458737820 is a wasteful number, since it uses less digits than its factorization.

34458737820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56796 (or 56794 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

It can be divided in two parts, 34 and 458737820, that added together give a palindrome (458737854).

The spelling of 34458737820 in words is "thirty-four billion, four hundred fifty-eight million, seven hundred thirty-seven thousand, eight hundred twenty".