3438231300 has 864 divisors, whose sum is σ = 14331582720. Its totient is φ = 696729600.

The previous prime is 3438231299. The next prime is 3438231311. The reversal of 3438231300 is 31328343.

3438231300 is a `hidden beast` number, since 343 + 8 + 2 + 313 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 83859280 + ... + 83859320.

It is an arithmetic number, because the mean of its divisors is an integer number (16587480).

Almost surely, 2^3438231300 is an apocalyptic number.

3438231300 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 3438231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7165791360).

3438231300 is an abundant number, since it is smaller than the sum of its proper divisors (10893351420).

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

3438231300 is a wasteful number, since it uses less digits than its factorization.

3438231300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3438231300 is about 58636.4332134894. The cubic root of 3438231300 is about 1509.3097001185.

Adding to 3438231300 its reverse (31328343), we get a palindrome (3469559643).

The spelling of 3438231300 in words is "three billion, four hundred thirty-eight million, two hundred thirty-one thousand, three hundred".