34832040 has 64 divisors (see below), whose sum is σ = 105494400. Its totient is φ = 9199872.

The previous prime is 34832033. The next prime is 34832047. The reversal of 34832040 is 4023843.

34832040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34832033) and next prime (34832047).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34832040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34832047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11749 + ... + 14411.

It is an arithmetic number, because the mean of its divisors is an integer number (1648350).

Almost surely, 2^34832040 is an apocalyptic number.

34832040 is a gapful number since it is divisible by the number (30) 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 34832040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52747200).

34832040 is an abundant number, since it is smaller than the sum of its proper divisors (70662360).

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

34832040 is a wasteful number, since it uses less digits than its factorization.

34832040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 34832040 is about 5901.8675010542. The cubic root of 34832040 is about 326.5825457884.

Adding to 34832040 its reverse (4023843), we get a palindrome (38855883).

The spelling of 34832040 in words is "thirty-four million, eight hundred thirty-two thousand, forty".