34837140 has 96 divisors (see below), whose sum is σ = 106968960. Its totient is φ = 8418816.

The previous prime is 34837123. The next prime is 34837141. The reversal of 34837140 is 4173843.

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

It is a junction number, because it is equal to n+sod(n) for n = 34837098 and 34837107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34837141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45642 + ... + 46398.

It is an arithmetic number, because the mean of its divisors is an integer number (1114260).

Almost surely, 2^34837140 is an apocalyptic number.

34837140 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 34837140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53484480).

34837140 is an abundant number, since it is smaller than the sum of its proper divisors (72131820).

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

34837140 is a wasteful number, since it uses less digits than its factorization.

34837140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 34837140 is about 5902.2995518696. The cubic root of 34837140 is about 326.5984840807.

The spelling of 34837140 in words is "thirty-four million, eight hundred thirty-seven thousand, one hundred forty".