34920384 has 56 divisors (see below), whose sum is σ = 95390208. Its totient is φ = 11262720.

The previous prime is 34920383. The next prime is 34920419. The reversal of 34920384 is 48302943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34920383) 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 7 ways as a sum of consecutive naturals, for example, 3019 + ... + 8885.

Almost surely, 2^34920384 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 34920384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47695104).

34920384 is an abundant number, since it is smaller than the sum of its proper divisors (60469824).

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

34920384 is a wasteful number, since it uses less digits than its factorization.

34920384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5913 (or 5903 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 34920384 is about 5909.3471720656. The cubic root of 34920384 is about 326.8584148902.

The spelling of 34920384 in words is "thirty-four million, nine hundred twenty thousand, three hundred eighty-four".