34137840 has 160 divisors (see below), whose sum is σ = 117778176. Its totient is φ = 8110080.

The previous prime is 34137827. The next prime is 34137841. The reversal of 34137840 is 4873143.

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 = 34137798 and 34137807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34137841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176784 + ... + 176976.

Almost surely, 2^34137840 is an apocalyptic number.

34137840 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 34137840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58889088).

34137840 is an abundant number, since it is smaller than the sum of its proper divisors (83640336).

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

34137840 is a wasteful number, since it uses less digits than its factorization.

34137840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

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

The square root of 34137840 is about 5842.7596219595. The cubic root of 34137840 is about 324.3983820820.

The spelling of 34137840 in words is "thirty-four million, one hundred thirty-seven thousand, eight hundred forty".