34146816 has 160 divisors (see below), whose sum is σ = 103707648. Its totient is φ = 9891840.

The previous prime is 34146799. The next prime is 34146821. The reversal of 34146816 is 61864143.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726505 + ... + 726551.

Almost surely, 2^34146816 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 34146816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51853824).

34146816 is an abundant number, since it is smaller than the sum of its proper divisors (69560832).

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

34146816 is a wasteful number, since it uses less digits than its factorization.

34146816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 34146816 is about 5843.5277016542. The cubic root of 34146816 is about 324.4268113823.

The spelling of 34146816 in words is "thirty-four million, one hundred forty-six thousand, eight hundred sixteen".