3286238234400 has 720 divisors, whose sum is σ = 13125353361120. Its totient is φ = 793519718400.

The previous prime is 3286238234371. The next prime is 3286238234407. The reversal of 3286238234400 is 44328326823.

3286238234400 is a `hidden beast` number, since 3 + 2 + 8 + 6 + 2 + 3 + 8 + 234 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3286238234407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 183180631 + ... + 183198569.

It is an arithmetic number, because the mean of its divisors is an integer number (18229657446).

Almost surely, 2^{3286238234400} is an apocalyptic number.

3286238234400 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 3286238234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562676680560).

3286238234400 is an abundant number, since it is smaller than the sum of its proper divisors (9839115126720).

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

3286238234400 is a wasteful number, since it uses less digits than its factorization.

3286238234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18239 (or 18217 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 3286238234400 in words is "three trillion, two hundred eighty-six billion, two hundred thirty-eight million, two hundred thirty-four thousand, four hundred".