34482672 has 180 divisors, whose sum is σ = 117060216. Its totient is φ = 9797760.

The previous prime is 34482671. The next prime is 34482673. The reversal of 34482672 is 27628443.

It is an interprime number because it is at equal distance from previous prime (34482671) and next prime (34482673).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (34482671) 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, 190422 + ... + 190602.

Almost surely, 2^34482672 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 34482672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58530108).

34482672 is an abundant number, since it is smaller than the sum of its proper divisors (82577544).

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

34482672 is a wasteful number, since it uses less digits than its factorization.

34482672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 193 counting only the distinct ones).

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

The square root of 34482672 is about 5872.1948196564. The cubic root of 34482672 is about 325.4869921961.

The spelling of 34482672 in words is "thirty-four million, four hundred eighty-two thousand, six hundred seventy-two".