3674584021824 has 448 divisors, whose sum is σ = 11932320153600. Its totient is φ = 1104884250624.

The previous prime is 3674584021807. The next prime is 3674584021897. The reversal of 3674584021824 is 4281204854763.

3674584021824 is a `hidden beast` number, since 3 + 6 + 7 + 4 + 58 + 402 + 182 + 4 = 666.

3674584021824 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49523697 + ... + 49597839.

It is an arithmetic number, because the mean of its divisors is an integer number (26634643200).

Almost surely, 2^{3674584021824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3674584021824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5966160076800).

3674584021824 is an abundant number, since it is smaller than the sum of its proper divisors (8257736131776).

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

3674584021824 is a wasteful number, since it uses less digits than its factorization.

3674584021824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74259 (or 74243 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 3674584021824 in words is "three trillion, six hundred seventy-four billion, five hundred eighty-four million, twenty-one thousand, eight hundred twenty-four".