3245812416000 has 1440 divisors, whose sum is σ = 14688180771264. Its totient is φ = 674353152000.

The previous prime is 3245812415987. The next prime is 3245812416029. The reversal of 3245812416000 is 6142185423.

It is a happy number.

3245812416000 is a `hidden beast` number, since 3 + 2 + 4 + 5 + 8 + 1 + 2 + 41 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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, 487868674 + ... + 487875326.

Almost surely, 2^{3245812416000} is an apocalyptic number.

3245812416000 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 3245812416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7344090385632).

3245812416000 is an abundant number, since it is smaller than the sum of its proper divisors (11442368355264).

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

3245812416000 is a wasteful number, since it uses less digits than its factorization.

3245812416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6721 (or 6681 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 3245812416000 in words is "three trillion, two hundred forty-five billion, eight hundred twelve million, four hundred sixteen thousand".