34829940 has 48 divisors (see below), whose sum is σ = 103263552. Its totient is φ = 8741376.

The previous prime is 34829929. The next prime is 34829953. The reversal of 34829940 is 4992843.

34829940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 16054 + ... + 18093.

It is an arithmetic number, because the mean of its divisors is an integer number (2151324).

Almost surely, 2^34829940 is an apocalyptic number.

34829940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34829940 is an abundant number, since it is smaller than the sum of its proper divisors (68433612).

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

34829940 is a wasteful number, since it uses less digits than its factorization.

34829940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34176 (or 34174 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 34829940 is about 5901.6895885839. The cubic root of 34829940 is about 326.5759825100.

The spelling of 34829940 in words is "thirty-four million, eight hundred twenty-nine thousand, nine hundred forty".