34893516 has 96 divisors (see below), whose sum is σ = 97377280. Its totient is φ = 9517824.

The previous prime is 34893497. The next prime is 34893517. The reversal of 34893516 is 61539843.

It is not an unprimeable number, because it can be changed into a prime (34893517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320070 + ... + 320178.

Almost surely, 2^34893516 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 34893516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48688640).

34893516 is an abundant number, since it is smaller than the sum of its proper divisors (62483764).

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

34893516 is a wasteful number, since it uses less digits than its factorization.

34893516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 261 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 34893516 is about 5907.0733870505. The cubic root of 34893516 is about 326.7745642928.

The spelling of 34893516 in words is "thirty-four million, eight hundred ninety-three thousand, five hundred sixteen".