34493280 has 48 divisors (see below), whose sum is σ = 108655344. Its totient is φ = 9198080.

The previous prime is 34493257. The next prime is 34493281. The reversal of 34493280 is 8239443.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34493281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35451 + ... + 36410.

It is an arithmetic number, because the mean of its divisors is an integer number (2263653).

Almost surely, 2^34493280 is an apocalyptic number.

34493280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34493280 is an abundant number, since it is smaller than the sum of its proper divisors (74162064).

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

34493280 is a wasteful number, since it uses less digits than its factorization.

34493280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71879 (or 71871 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 34493280 is about 5873.0979899879. The cubic root of 34493280 is about 325.5203655961.

The spelling of 34493280 in words is "thirty-four million, four hundred ninety-three thousand, two hundred eighty".