33734916 has 36 divisors (see below), whose sum is σ = 86240700. Its totient is φ = 11117568.

The previous prime is 33734903. The next prime is 33734957. The reversal of 33734916 is 61943733.

It can be written as a sum of positive squares in 2 ways, for example, as 16892100 + 16842816 = 4110^2 + 4104^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33734916² = 2276089115054112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2061 + ... + 8468.

It is an arithmetic number, because the mean of its divisors is an integer number (2395575).

Almost surely, 2^33734916 is an apocalyptic number.

33734916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33734916 is an abundant number, since it is smaller than the sum of its proper divisors (52505784).

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

33734916 is a wasteful number, since it uses less digits than its factorization.

33734916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10628 (or 10623 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 33734916 is about 5808.1766502062. The cubic root of 33734916 is about 323.1170518967.

It can be divided in two parts, 337 and 34916, that added together give a palindrome (35253).

The spelling of 33734916 in words is "thirty-three million, seven hundred thirty-four thousand, nine hundred sixteen".