3256394400 has 432 divisors, whose sum is σ = 13615003584. Its totient is φ = 744007680.

The previous prime is 3256394399. The next prime is 3256394417. The reversal of 3256394400 is 44936523.

3256394400 is a `hidden beast` number, since 3 + 2 + 563 + 94 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

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, 1359604 + ... + 1361996.

It is an arithmetic number, because the mean of its divisors is an integer number (31516212).

Almost surely, 2^3256394400 is an apocalyptic number.

3256394400 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 3256394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6807501792).

3256394400 is an abundant number, since it is smaller than the sum of its proper divisors (10358609184).

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

3256394400 is a wasteful number, since it uses less digits than its factorization.

3256394400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3256394400 is about 57064.8262943120. The cubic root of 3256394400 is about 1482.2188534175.

The spelling of 3256394400 in words is "three billion, two hundred fifty-six million, three hundred ninety-four thousand, four hundred".