3258050400 has 432 divisors, whose sum is σ = 12947171328. Its totient is φ = 763776000.

The previous prime is 3258050399. The next prime is 3258050437. The reversal of 3258050400 is 40508523.

3258050400 is a `hidden beast` number, since 3 + 258 + 0 + 5 + 0 + 400 = 666.

It is a super-2 number, since 2×3258050400² = 21229784817880320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2454537 + ... + 2455863.

It is an arithmetic number, because the mean of its divisors is an integer number (29970304).

Almost surely, 2^3258050400 is an apocalyptic number.

3258050400 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 3258050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6473585664).

3258050400 is an abundant number, since it is smaller than the sum of its proper divisors (9689120928).

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

3258050400 is a wasteful number, since it uses less digits than its factorization.

3258050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3258050400 is about 57079.3342638122. The cubic root of 3258050400 is about 1482.4700656643.

Adding to 3258050400 its reverse (40508523), we get a palindrome (3298558923).

The spelling of 3258050400 in words is "three billion, two hundred fifty-eight million, fifty thousand, four hundred".