34491840 has 224 divisors, whose sum is σ = 120944640. Its totient is φ = 8294400.

The previous prime is 34491839. The next prime is 34491841. The reversal of 34491840 is 4819443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34491839) and next prime (34491841).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34491841) 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, 565410 + ... + 565470.

Almost surely, 2^34491840 is an apocalyptic number.

34491840 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 34491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60472320).

34491840 is an abundant number, since it is smaller than the sum of its proper divisors (86452800).

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

34491840 is a wasteful number, since it uses less digits than its factorization.

34491840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 34491840 is about 5872.9753958279. The cubic root of 34491840 is about 325.5158356717.

The spelling of 34491840 in words is "thirty-four million, four hundred ninety-one thousand, eight hundred forty".