34376832 has 256 divisors, whose sum is σ = 122400000. Its totient is φ = 9483264.

The previous prime is 34376831. The next prime is 34376869. The reversal of 34376832 is 23867343.

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 not an unprimeable number, because it can be changed into a prime (34376831) 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 31 ways as a sum of consecutive naturals, for example, 1185394 + ... + 1185422.

It is an arithmetic number, because the mean of its divisors is an integer number (478125).

Almost surely, 2^34376832 is an apocalyptic number.

34376832 is a gapful number since it is divisible by the number (32) 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 34376832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61200000).

34376832 is an abundant number, since it is smaller than the sum of its proper divisors (88023168).

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

34376832 is an equidigital number, since it uses as much as digits as its factorization.

34376832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 41 counting only the distinct ones).

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

The square root of 34376832 is about 5863.1759311827. The cubic root of 34376832 is about 325.1536378127.

The spelling of 34376832 in words is "thirty-four million, three hundred seventy-six thousand, eight hundred thirty-two".