4340645400 has 576 divisors, whose sum is σ = 17330453280. Its totient is φ = 890265600.

The previous prime is 4340645347. The next prime is 4340645423. The reversal of 4340645400 is 45460434.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15670062 + ... + 15670338.

Almost surely, 2^4340645400 is an apocalyptic number.

4340645400 is a gapful number since it is divisible by the number (40) 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 4340645400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8665226640).

4340645400 is an abundant number, since it is smaller than the sum of its proper divisors (12989807880).

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

4340645400 is a wasteful number, since it uses less digits than its factorization.

4340645400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 4340645400 is about 65883.5745842619. The cubic root of 4340645400 is about 1631.2409033418.

The spelling of 4340645400 in words is "four billion, three hundred forty million, six hundred forty-five thousand, four hundred".