34532016 has 80 divisors (see below), whose sum is σ = 96184320. Its totient is φ = 10644480.

The previous prime is 34531957. The next prime is 34532021. The reversal of 34532016 is 61023543.

It is a happy number.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 33720 + ... + 34728.

It is an arithmetic number, because the mean of its divisors is an integer number (1202304).

Almost surely, 2^34532016 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 34532016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48092160).

34532016 is an abundant number, since it is smaller than the sum of its proper divisors (61652304).

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

34532016 is a wasteful number, since it uses less digits than its factorization.

34532016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 34532016 is about 5876.3948131486. The cubic root of 34532016 is about 325.6421732807.

Adding to 34532016 its reverse (61023543), we get a palindrome (95555559).

The spelling of 34532016 in words is "thirty-four million, five hundred thirty-two thousand, sixteen".