34933080 has 192 divisors, whose sum is σ = 131574240. Its totient is φ = 7354368.

The previous prime is 34933033. The next prime is 34933091. The reversal of 34933080 is 8033943.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76212 + ... + 76668.

Almost surely, 2^34933080 is an apocalyptic number.

34933080 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 34933080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65787120).

34933080 is an abundant number, since it is smaller than the sum of its proper divisors (96641160).

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

34933080 is a wasteful number, since it uses less digits than its factorization.

34933080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 34933080 is about 5910.4213047802. The cubic root of 34933080 is about 326.8980220494.

The spelling of 34933080 in words is "thirty-four million, nine hundred thirty-three thousand, eighty".