34842276 has 108 divisors (see below), whose sum is σ = 106509312. Its totient is φ = 9406368.

The previous prime is 34842209. The next prime is 34842277. The reversal of 34842276 is 67224843.

34842276 is a `hidden beast` number, since 348 + 42 + 276 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 34842276.

It is not an unprimeable number, because it can be changed into a prime (34842277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90781 + ... + 91163.

Almost surely, 2^34842276 is an apocalyptic number.

34842276 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 34842276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53254656).

34842276 is an abundant number, since it is smaller than the sum of its proper divisors (71667036).

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

34842276 is a wasteful number, since it uses less digits than its factorization.

34842276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 414 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 34842276 is about 5902.7346204958. The cubic root of 34842276 is about 326.6145333066.

It can be divided in two parts, 348 and 42276, that added together give a palindrome (42624).

The spelling of 34842276 in words is "thirty-four million, eight hundred forty-two thousand, two hundred seventy-six".