34687140 has 96 divisors (see below), whose sum is σ = 106251264. Its totient is φ = 8417280.

The previous prime is 34687117. The next prime is 34687181. The reversal of 34687140 is 4178643.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31072 + ... + 32168.

It is an arithmetic number, because the mean of its divisors is an integer number (1106784).

Almost surely, 2^34687140 is an apocalyptic number.

34687140 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 34687140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53125632).

34687140 is an abundant number, since it is smaller than the sum of its proper divisors (71564124).

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

34687140 is a wasteful number, since it uses less digits than its factorization.

34687140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1155 counting only the distinct ones).

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

The square root of 34687140 is about 5889.5789323177. The cubic root of 34687140 is about 326.1290592670.

The spelling of 34687140 in words is "thirty-four million, six hundred eighty-seven thousand, one hundred forty".