3824264321280 has 864 divisors, whose sum is σ = 14398388100096. Its totient is φ = 931579232256.

The previous prime is 3824264321221. The next prime is 3824264321287. The reversal of 3824264321280 is 821234624283.

3824264321280 is a `hidden beast` number, since 3 + 8 + 2 + 42 + 6 + 4 + 321 + 280 = 666.

3824264321280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (3824264321287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10252719174 + ... + 10252719546.

Almost surely, 2^{3824264321280} is an apocalyptic number.

3824264321280 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 3824264321280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7199194050048).

3824264321280 is an abundant number, since it is smaller than the sum of its proper divisors (10574123778816).

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

3824264321280 is a wasteful number, since it uses less digits than its factorization.

3824264321280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 3824264321280 in words is "three trillion, eight hundred twenty-four billion, two hundred sixty-four million, three hundred twenty-one thousand, two hundred eighty".