3438858300 has 72 divisors (see below), whose sum is σ = 9980111232. Its totient is φ = 914232000.

The previous prime is 3438858299. The next prime is 3438858343. The reversal of 3438858300 is 38588343.

3438858300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81985 + ... + 116615.

It is an arithmetic number, because the mean of its divisors is an integer number (138612656).

Almost surely, 2^3438858300 is an apocalyptic number.

3438858300 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 3438858300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990055616).

3438858300 is an abundant number, since it is smaller than the sum of its proper divisors (6541252932).

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

3438858300 is a wasteful number, since it uses less digits than its factorization.

3438858300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34979 (or 34972 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 3438858300 is about 58641.7794750466. The cubic root of 3438858300 is about 1509.4014410536.

The spelling of 3438858300 in words is "three billion, four hundred thirty-eight million, eight hundred fifty-eight thousand, three hundred".