34406480 has 20 divisors (see below), whose sum is σ = 79995252. Its totient is φ = 13762560.

The previous prime is 34406479. The next prime is 34406507. The reversal of 34406480 is 8460443.

It can be written as a sum of positive squares in 2 ways, for example, as 16224784 + 18181696 = 4028^2 + 4264^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×34406480³ (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 214961 + ... + 215120.

Almost surely, 2^34406480 is an apocalyptic number.

It is an amenable number.

34406480 is an abundant number, since it is smaller than the sum of its proper divisors (45588772).

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

34406480 is a wasteful number, since it uses less digits than its factorization.

34406480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430094 (or 430088 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 34406480 is about 5865.7037088486. The cubic root of 34406480 is about 325.2470862630.

The spelling of 34406480 in words is "thirty-four million, four hundred six thousand, four hundred eighty".