34556212152 has 384 divisors, whose sum is σ = 123408230400. Its totient is φ = 8462880000.

The previous prime is 34556212129. The next prime is 34556212211. The reversal of 34556212152 is 25121265543.

34556212152 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 621 + 21 + 5 + 2 = 666.

It is a super-2 number, since 2×34556212152² (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).

Its product of digits (72000) is a multiple of the sum of its prime divisors (1600).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26438683 + ... + 26439989.

It is an arithmetic number, because the mean of its divisors is an integer number (321375600).

Almost surely, 2^34556212152 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 34556212152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61704115200).

34556212152 is an abundant number, since it is smaller than the sum of its proper divisors (88852018248).

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

34556212152 is a wasteful number, since it uses less digits than its factorization.

34556212152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1600 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

Adding to 34556212152 its reverse (25121265543), we get a palindrome (59677477695).

The spelling of 34556212152 in words is "thirty-four billion, five hundred fifty-six million, two hundred twelve thousand, one hundred fifty-two".