34414380 has 288 divisors, whose sum is σ = 140894208. Its totient is φ = 6566400.

The previous prime is 34414379. The next prime is 34414397. The reversal of 34414380 is 8341443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180085 + ... + 180275.

It is an arithmetic number, because the mean of its divisors is an integer number (489216).

Almost surely, 2^34414380 is an apocalyptic number.

34414380 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 34414380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70447104).

34414380 is an abundant number, since it is smaller than the sum of its proper divisors (106479828).

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

34414380 is a wasteful number, since it uses less digits than its factorization.

34414380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34414380 is about 5866.3770761859. The cubic root of 34414380 is about 325.2719774594.

It can be divided in two parts, 34 and 414380, that added together give a palindrome (414414).

The spelling of 34414380 in words is "thirty-four million, four hundred fourteen thousand, three hundred eighty".