34100400 has 120 divisors (see below), whose sum is σ = 110538064. Its totient is φ = 8985600.

The previous prime is 34100393. The next prime is 34100401. The reversal of 34100400 is 400143.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34100401) 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, 188310 + ... + 188490.

Almost surely, 2^34100400 is an apocalyptic number.

34100400 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 34100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55269032).

34100400 is an abundant number, since it is smaller than the sum of its proper divisors (76437664).

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

34100400 is a wasteful number, since it uses less digits than its factorization.

34100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 34100400 is about 5839.5547775494. The cubic root of 34100400 is about 324.2797462004.

Adding to 34100400 its reverse (400143), we get a palindrome (34500543).

The spelling of 34100400 in words is "thirty-four million, one hundred thousand, four hundred".