34228832652 has 432 divisors, whose sum is σ = 110691060480. Its totient is φ = 8706942720.

The previous prime is 34228832623. The next prime is 34228832653. The reversal of 34228832652 is 25623882243.

It is a happy number.

34228832652 is a `hidden beast` number, since 3 + 42 + 288 + 326 + 5 + 2 = 666.

It is a super-2 number, since 2×34228832652² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34228832598 and 34228832607.

It is not an unprimeable number, because it can be changed into a prime (34228832653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 197854438 + ... + 197854610.

Almost surely, 2^34228832652 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 34228832652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55345530240).

34228832652 is an abundant number, since it is smaller than the sum of its proper divisors (76462227828).

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

34228832652 is a wasteful number, since it uses less digits than its factorization.

34228832652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 278 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 34228832652 in words is "thirty-four billion, two hundred twenty-eight million, eight hundred thirty-two thousand, six hundred fifty-two".