3821674321920 has 1536 divisors, whose sum is σ = 15554544445440. Its totient is φ = 779700142080.

The previous prime is 3821674321897. The next prime is 3821674321939. The reversal of 3821674321920 is 291234761283.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3821674321920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12448450407 + ... + 12448450713.

It is an arithmetic number, because the mean of its divisors is an integer number (10126656540).

Almost surely, 2^{3821674321920} is an apocalyptic number.

3821674321920 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 3821674321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7777272222720).

3821674321920 is an abundant number, since it is smaller than the sum of its proper divisors (11732870123520).

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

3821674321920 is a wasteful number, since it uses less digits than its factorization.

3821674321920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 3821674321920 in words is "three trillion, eight hundred twenty-one billion, six hundred seventy-four million, three hundred twenty-one thousand, nine hundred twenty".