3258438300 has 432 divisors, whose sum is σ = 11709979680. Its totient is φ = 776355840.

The previous prime is 3258438299. The next prime is 3258438311. The reversal of 3258438300 is 38348523.

3258438300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 16883004 + ... + 16883196.

Almost surely, 2^3258438300 is an apocalyptic number.

3258438300 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 3258438300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854989840).

3258438300 is an abundant number, since it is smaller than the sum of its proper divisors (8451541380).

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

3258438300 is a wasteful number, since it uses less digits than its factorization.

3258438300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3258438300 is about 57082.7320649599. The cubic root of 3258438300 is about 1482.5288970970.

The spelling of 3258438300 in words is "three billion, two hundred fifty-eight million, four hundred thirty-eight thousand, three hundred".