3438943200 has 432 divisors, whose sum is σ = 15121282176. Its totient is φ = 714470400.

The previous prime is 3438943177. The next prime is 3438943201. The reversal of 3438943200 is 23498343.

It is a happy number.

3438943200 is a `hidden beast` number, since 34 + 389 + 43 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3438943201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 551299 + ... + 557501.

It is an arithmetic number, because the mean of its divisors is an integer number (35002968).

Almost surely, 2^3438943200 is an apocalyptic number.

3438943200 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 3438943200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560641088).

3438943200 is an abundant number, since it is smaller than the sum of its proper divisors (11682338976).

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

3438943200 is a wasteful number, since it uses less digits than its factorization.

3438943200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6247 (or 6231 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3438943200 is about 58642.5033572067. The cubic root of 3438943200 is about 1509.4138625335.

The spelling of 3438943200 in words is "three billion, four hundred thirty-eight million, nine hundred forty-three thousand, two hundred".