34762132152 has 128 divisors (see below), whose sum is σ = 106170163200. Its totient is φ = 10450944000.

The previous prime is 34762132129. The next prime is 34762132183. The reversal of 34762132152 is 25123126743.

34762132152 is a `hidden beast` number, since 3 + 4 + 7 + 621 + 3 + 21 + 5 + 2 = 666.

It is a super-2 number, since 2×34762132152² (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 congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 244152 + ... + 359352.

It is an arithmetic number, because the mean of its divisors is an integer number (829454400).

Almost surely, 2^34762132152 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 34762132152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53085081600).

34762132152 is an abundant number, since it is smaller than the sum of its proper divisors (71408031048).

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

34762132152 is a wasteful number, since it uses less digits than its factorization.

34762132152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115354 (or 115344 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

Adding to 34762132152 its reverse (25123126743), we get a palindrome (59885258895).

The spelling of 34762132152 in words is "thirty-four billion, seven hundred sixty-two million, one hundred thirty-two thousand, one hundred fifty-two".