34769040 has 80 divisors (see below), whose sum is σ = 108379968. Its totient is φ = 9220608.

The previous prime is 34769027. The next prime is 34769071. The reversal of 34769040 is 4096743.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×34769040² = 2417772285043200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34768992 and 34769010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66219 + ... + 66741.

Almost surely, 2^34769040 is an apocalyptic number.

34769040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34769040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54189984).

34769040 is an abundant number, since it is smaller than the sum of its proper divisors (73610928).

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

34769040 is a wasteful number, since it uses less digits than its factorization.

34769040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 34769040 is about 5896.5277918450. The cubic root of 34769040 is about 326.3855325671.

The spelling of 34769040 in words is "thirty-four million, seven hundred sixty-nine thousand, forty".