34284976 has 40 divisors (see below), whose sum is σ = 73370304. Its totient is φ = 15389760.

The previous prime is 34284919. The next prime is 34285001. The reversal of 34284976 is 67948243.

It is a super-3 number, since 3×34284976³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13435 + ... + 15781.

Almost surely, 2^34284976 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 34284976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36685152).

34284976 is an abundant number, since it is smaller than the sum of its proper divisors (39085328).

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

34284976 is a wasteful number, since it uses less digits than its factorization.

34284976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2443 counting only the distinct ones).

The product of its digits is 290304, while the sum is 43.

The square root of 34284976 is about 5855.3373942071. The cubic root of 34284976 is about 324.8637724924.

The spelling of 34284976 in words is "thirty-four million, two hundred eighty-four thousand, nine hundred seventy-six".