34401400 has 96 divisors (see below), whose sum is σ = 91958400. Its totient is φ = 11836800.

The previous prime is 34401397. The next prime is 34401401. The reversal of 34401400 is 410443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34401401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41389 + ... + 42211.

It is an arithmetic number, because the mean of its divisors is an integer number (957900).

Almost surely, 2^34401400 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 34401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45979200).

34401400 is an abundant number, since it is smaller than the sum of its proper divisors (57557000).

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

34401400 is a wasteful number, since it uses less digits than its factorization.

34401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 34401400 is about 5865.2706672412. The cubic root of 34401400 is about 325.2310782656.

Adding to 34401400 its reverse (410443), we get a palindrome (34811843).

The spelling of 34401400 in words is "thirty-four million, four hundred one thousand, four hundred".