34872336 has 80 divisors (see below), whose sum is σ = 101332800. Its totient is φ = 11480832.

The previous prime is 34872317. The next prime is 34872337. The reversal of 34872336 is 63327843.

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 34872336.

It is not an unprimeable number, because it can be changed into a prime (34872337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37995 + ... + 38901.

It is an arithmetic number, because the mean of its divisors is an integer number (1266660).

Almost surely, 2^34872336 is an apocalyptic number.

34872336 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 34872336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50666400).

34872336 is an abundant number, since it is smaller than the sum of its proper divisors (66460464).

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

34872336 is a wasteful number, since it uses less digits than its factorization.

34872336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1001 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 34872336 is about 5905.2803489758. The cubic root of 34872336 is about 326.7084346611.

The spelling of 34872336 in words is "thirty-four million, eight hundred seventy-two thousand, three hundred thirty-six".