3224912486400 has 2016 divisors, whose sum is σ = 13470059611008. Its totient is φ = 758041804800.

The previous prime is 3224912486377. The next prime is 3224912486401. The reversal of 3224912486400 is 46842194223.

3224912486400 is a `hidden beast` number, since 3 + 2 + 2 + 49 + 124 + 86 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3224912486401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23539507132 + ... + 23539507268.

It is an arithmetic number, because the mean of its divisors is an integer number (6681577188).

Almost surely, 2^{3224912486400} is an apocalyptic number.

3224912486400 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 3224912486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6735029805504).

3224912486400 is an abundant number, since it is smaller than the sum of its proper divisors (10245147124608).

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

3224912486400 is a wasteful number, since it uses less digits than its factorization.

3224912486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 3224912486400 in words is "three trillion, two hundred twenty-four billion, nine hundred twelve million, four hundred eighty-six thousand, four hundred".