10346400 has 144 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 2753280.

The previous prime is 10346383. The next prime is 10346407. The reversal of 10346400 is 464301.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10346407) 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, 21361 + ... + 21839.

It is an arithmetic number, because the mean of its divisors is an integer number (260400).

Almost surely, 2^10346400 is an apocalyptic number.

10346400 is a gapful number since it is divisible by the number (10) 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 10346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

10346400 is an abundant number, since it is smaller than the sum of its proper divisors (27151200).

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

10346400 is a wasteful number, since it uses less digits than its factorization.

10346400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10346400 is about 3216.5820368833. The cubic root of 10346400 is about 217.9029391445.

The spelling of 10346400 in words is "ten million, three hundred forty-six thousand, four hundred".