34387080 has 256 divisors, whose sum is σ = 131604480. Its totient is φ = 6994944.

The previous prime is 34387063. The next prime is 34387117. The reversal of 34387080 is 8078343.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 513207 + ... + 513273.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 2^34387080 is an apocalyptic number.

34387080 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 34387080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65802240).

34387080 is an abundant number, since it is smaller than the sum of its proper divisors (97217400).

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

34387080 is a wasteful number, since it uses less digits than its factorization.

34387080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 34387080 is about 5864.0497951501. The cubic root of 34387080 is about 325.1859448756.

The spelling of 34387080 in words is "thirty-four million, three hundred eighty-seven thousand, eighty".