34010400 has 144 divisors (see below), whose sum is σ = 113992704. Its totient is φ = 8801280.

The previous prime is 34010309. The next prime is 34010411. The reversal of 34010400 is 401043.

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

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, 88609 + ... + 88991.

It is an arithmetic number, because the mean of its divisors is an integer number (791616).

Almost surely, 2^34010400 is an apocalyptic number.

34010400 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 34010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56996352).

34010400 is an abundant number, since it is smaller than the sum of its proper divisors (79982304).

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

34010400 is a wasteful number, since it uses less digits than its factorization.

34010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 430 counting only the distinct ones).

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

The square root of 34010400 is about 5831.8436193026. The cubic root of 34010400 is about 323.9942080964.

Adding to 34010400 its reverse (401043), we get a palindrome (34411443).

The spelling of 34010400 in words is "thirty-four million, ten thousand, four hundred".