34684416 has 160 divisors (see below), whose sum is σ = 111138720. Its totient is φ = 10616832.

The previous prime is 34684409. The next prime is 34684421. The reversal of 34684416 is 61448643.

It is a super-2 number, since 2×34684416² = 2406017426522112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179616 + ... + 179808.

It is an arithmetic number, because the mean of its divisors is an integer number (694617).

Almost surely, 2^34684416 is an apocalyptic number.

34684416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34684416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55569360).

34684416 is an abundant number, since it is smaller than the sum of its proper divisors (76454304).

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

34684416 is a wasteful number, since it uses less digits than its factorization.

34684416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 211 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 34684416 is about 5889.3476718564. The cubic root of 34684416 is about 326.1205220127.

The spelling of 34684416 in words is "thirty-four million, six hundred eighty-four thousand, four hundred sixteen".