34513680 has 40 divisors (see below), whose sum is σ = 106993152. Its totient is φ = 9203584.

The previous prime is 34513679. The next prime is 34513691. The reversal of 34513680 is 8631543.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×34513680³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71664 + ... + 72143.

Almost surely, 2^34513680 is an apocalyptic number.

34513680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34513680 is an abundant number, since it is smaller than the sum of its proper divisors (72479472).

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

34513680 is a wasteful number, since it uses less digits than its factorization.

34513680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143823 (or 143817 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 34513680 is about 5874.8344657531. The cubic root of 34513680 is about 325.5845259848.

The spelling of 34513680 in words is "thirty-four million, five hundred thirteen thousand, six hundred eighty".