34441400 has 96 divisors (see below), whose sum is σ = 93044640. Its totient is φ = 11612160.

The previous prime is 34441399. The next prime is 34441423. The reversal of 34441400 is 414443.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 102032 + ... + 102368.

It is an arithmetic number, because the mean of its divisors is an integer number (969215).

Almost surely, 2^34441400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46522320).

34441400 is an abundant number, since it is smaller than the sum of its proper divisors (58603240).

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

34441400 is a wasteful number, since it uses less digits than its factorization.

34441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 34441400 is about 5868.6795789172. The cubic root of 34441400 is about 325.3570828686.

Adding to 34441400 its reverse (414443), we get a palindrome (34855843).

The spelling of 34441400 in words is "thirty-four million, four hundred forty-one thousand, four hundred".