34124206356 has 72 divisors (see below), whose sum is σ = 88447439808. Its totient is φ = 11086608000.

The previous prime is 34124206343. The next prime is 34124206367. The reversal of 34124206356 is 65360242143.

34124206356 is a `hidden beast` number, since 3 + 4 + 12 + 4 + 2 + 0 + 635 + 6 = 666.

It is a super-2 number, since 2×34124206356² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34124206356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1599721 + ... + 1620911.

It is an arithmetic number, because the mean of its divisors is an integer number (1228436664).

Almost surely, 2^34124206356 is an apocalyptic number.

34124206356 is a gapful number since it is divisible by the number (36) 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 34124206356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44223719904).

34124206356 is an abundant number, since it is smaller than the sum of its proper divisors (54323233452).

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

34124206356 is a wasteful number, since it uses less digits than its factorization.

34124206356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22333 (or 22328 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 34124206356 its reverse (65360242143), we get a palindrome (99484448499).

The spelling of 34124206356 in words is "thirty-four billion, one hundred twenty-four million, two hundred six thousand, three hundred fifty-six".