3841920664920 has 320 divisors, whose sum is σ = 13951784135520. Its totient is φ = 942619908096.

The previous prime is 3841920664909. The next prime is 3841920664921. The reversal of 3841920664920 is 294660291483.

3841920664920 is a `hidden beast` number, since 3 + 8 + 4 + 1 + 92 + 0 + 66 + 492 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3841920664921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12782284 + ... + 13079396.

Almost surely, 2^{3841920664920} is an apocalyptic number.

3841920664920 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 3841920664920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6975892067760).

3841920664920 is an abundant number, since it is smaller than the sum of its proper divisors (10109863470600).

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

3841920664920 is a wasteful number, since it uses less digits than its factorization.

3841920664920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297456 (or 297443 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 3841920664920 in words is "three trillion, eight hundred forty-one billion, nine hundred twenty million, six hundred sixty-four thousand, nine hundred twenty".