34914208 has 48 divisors (see below), whose sum is σ = 79591680. Its totient is φ = 14766336.

The previous prime is 34914203. The next prime is 34914223. The reversal of 34914208 is 80241943.

It is a self number, because there is not a number n which added to its sum of digits gives 34914208.

It is not an unprimeable number, because it can be changed into a prime (34914203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16710 + ... + 18682.

It is an arithmetic number, because the mean of its divisors is an integer number (1658160).

Almost surely, 2^34914208 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 34914208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39795840).

34914208 is an abundant number, since it is smaller than the sum of its proper divisors (44677472).

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

34914208 is a wasteful number, since it uses less digits than its factorization.

34914208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 34914208 is about 5908.8245870054. The cubic root of 34914208 is about 326.8391444206.

The spelling of 34914208 in words is "thirty-four million, nine hundred fourteen thousand, two hundred eight".