34181940 has 72 divisors (see below), whose sum is σ = 103668768. Its totient is φ = 8411520.

The previous prime is 34181909. The next prime is 34181977. The reversal of 34181940 is 4918143.

It is a happy number.

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 = 34181898 and 34181907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8455 + ... + 11825.

It is an arithmetic number, because the mean of its divisors is an integer number (1439844).

Almost surely, 2^34181940 is an apocalyptic number.

34181940 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 34181940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51834384).

34181940 is an abundant number, since it is smaller than the sum of its proper divisors (69486828).

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

34181940 is a wasteful number, since it uses less digits than its factorization.

34181940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3409 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 34181940 is about 5846.5323055637. The cubic root of 34181940 is about 324.5380102562.

The spelling of 34181940 in words is "thirty-four million, one hundred eighty-one thousand, nine hundred forty".