4345013200 has 180 divisors, whose sum is σ = 11595195360. Its totient is φ = 1563372800.

The previous prime is 4345013173. The next prime is 4345013201. The reversal of 4345013200 is 23105434.

It is a super-3 number, since 3×4345013200³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4345013201) 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, 5178381 + ... + 5179219.

It is an arithmetic number, because the mean of its divisors is an integer number (64417752).

Almost surely, 2^4345013200 is an apocalyptic number.

4345013200 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 4345013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797597680).

4345013200 is an abundant number, since it is smaller than the sum of its proper divisors (7250182160).

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

4345013200 is a wasteful number, since it uses less digits than its factorization.

4345013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 4345013200 is about 65916.7141171342. The cubic root of 4345013200 is about 1631.7878685094.

Adding to 4345013200 its reverse (23105434), we get a palindrome (4368118634).

The spelling of 4345013200 in words is "four billion, three hundred forty-five million, thirteen thousand, two hundred".