34611242436 has 96 divisors (see below), whose sum is σ = 91791687680. Its totient is φ = 11275098912.

The previous prime is 34611242423. The next prime is 34611242459. The reversal of 34611242436 is 63424211643.

34611242436 is a `hidden beast` number, since 3 + 4 + 611 + 2 + 4 + 2 + 4 + 36 = 666.

34611242436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34611242436.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 900141 + ... + 937803.

Almost surely, 2^34611242436 is an apocalyptic number.

34611242436 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 34611242436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45895843840).

34611242436 is an abundant number, since it is smaller than the sum of its proper divisors (57180445244).

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

34611242436 is a wasteful number, since it uses less digits than its factorization.

34611242436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37870 (or 37862 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 34611242436 in words is "thirty-four billion, six hundred eleven million, two hundred forty-two thousand, four hundred thirty-six".