34460400 has 180 divisors, whose sum is σ = 121462712. Its totient is φ = 8302080.

The previous prime is 34460341. The next prime is 34460407. The reversal of 34460400 is 406443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34460407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 733177 + ... + 733223.

Almost surely, 2^34460400 is an apocalyptic number.

34460400 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 34460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60731356).

34460400 is an abundant number, since it is smaller than the sum of its proper divisors (87002312).

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

34460400 is a wasteful number, since it uses less digits than its factorization.

34460400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 34460400 is about 5870.2981184945. The cubic root of 34460400 is about 325.4169008800.

Adding to 34460400 its reverse (406443), we get a palindrome (34866843).

The spelling of 34460400 in words is "thirty-four million, four hundred sixty thousand, four hundred".