34693128 has 24 divisors (see below), whose sum is σ = 93960750. Its totient is φ = 11564352.

The previous prime is 34693067. The next prime is 34693133. The reversal of 34693128 is 82139643.

It can be written as a sum of positive squares in only one way, i.e., 19342404 + 15350724 = 4398^2 + 3918^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×34693128² = 2407226260848768, 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 junction number, because it is equal to n+sod(n) for n = 34693092 and 34693101.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 240853 + ... + 240996.

Almost surely, 2^34693128 is an apocalyptic number.

It is an amenable number.

34693128 is an abundant number, since it is smaller than the sum of its proper divisors (59267622).

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

34693128 is a wasteful number, since it uses less digits than its factorization.

34693128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481861 (or 481854 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 34693128 is about 5890.0872659070. The cubic root of 34693128 is about 326.1478246120.

The spelling of 34693128 in words is "thirty-four million, six hundred ninety-three thousand, one hundred twenty-eight".