34760480 has 24 divisors (see below), whose sum is σ = 82122012. Its totient is φ = 13904128.

The previous prime is 34760477. The next prime is 34760489. The reversal of 34760480 is 8406743.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28430224 + 6330256 = 5332^2 + 2516^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (34760489) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 108467 + ... + 108786.

Almost surely, 2^34760480 is an apocalyptic number.

It is an amenable number.

34760480 is an abundant number, since it is smaller than the sum of its proper divisors (47361532).

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

34760480 is a wasteful number, since it uses less digits than its factorization.

34760480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217268 (or 217260 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 34760480 is about 5895.8018962648. The cubic root of 34760480 is about 326.3587454267.

The spelling of 34760480 in words is "thirty-four million, seven hundred sixty thousand, four hundred eighty".