34437964 has 48 divisors (see below), whose sum is σ = 68856480. Its totient is φ = 14927360.

The previous prime is 34437961. The next prime is 34437967. The reversal of 34437964 is 46973443.

34437964 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 (34437961) and next prime (34437967).

Its product of digits (217728) is a multiple of the sum of its prime factors (378).

It is not an unprimeable number, because it can be changed into a prime (34437961) 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, 174714 + ... + 174910.

It is an arithmetic number, because the mean of its divisors is an integer number (1434510).

It is a vampire number, since it can be written as 4334 ⋅ 7946 (with its own digits).

Almost surely, 2^34437964 is an apocalyptic number.

It is an amenable number.

34437964 is a deficient number, since it is larger than the sum of its proper divisors (34418516).

34437964 is a wasteful number, since it uses less digits than its factorization.

34437964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 376 counting only the distinct ones).

The product of its digits is 217728, while the sum is 40.

The square root of 34437964 is about 5868.3868311487. The cubic root of 34437964 is about 325.3462629047.

It can be divided in two parts, 344379 and 64, that added together give a palindrome (344443).

The spelling of 34437964 in words is "thirty-four million, four hundred thirty-seven thousand, nine hundred sixty-four".