34116264 has 192 divisors, whose sum is σ = 117411840. Its totient is φ = 8709120.

The previous prime is 34116239. The next prime is 34116283. The reversal of 34116264 is 46261143.

34116264 = T₃₃₇ + T₃₃₈ + ... + T₆₂₃.

34116264 is a `hidden beast` number, since 34 + 1 + 1 + 626 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268569 + ... + 268695.

It is an arithmetic number, because the mean of its divisors is an integer number (611520).

Almost surely, 2^34116264 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 34116264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58705920).

34116264 is an abundant number, since it is smaller than the sum of its proper divisors (83295576).

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

34116264 is a wasteful number, since it uses less digits than its factorization.

34116264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 193 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 34116264 is about 5840.9129423404. The cubic root of 34116264 is about 324.3300249493.

The spelling of 34116264 in words is "thirty-four million, one hundred sixteen thousand, two hundred sixty-four".