34982136 has 96 divisors (see below), whose sum is σ = 111820800. Its totient is φ = 9668160.

The previous prime is 34982119. The next prime is 34982137. The reversal of 34982136 is 63128943.

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 34982136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34982137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14505 + ... + 16743.

It is an arithmetic number, because the mean of its divisors is an integer number (1164800).

Almost surely, 2^34982136 is an apocalyptic number.

34982136 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 34982136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55910400).

34982136 is an abundant number, since it is smaller than the sum of its proper divisors (76838664).

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

34982136 is a wasteful number, since it uses less digits than its factorization.

34982136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2282 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 34982136 is about 5914.5698068414. The cubic root of 34982136 is about 327.0509698065.

The spelling of 34982136 in words is "thirty-four million, nine hundred eighty-two thousand, one hundred thirty-six".