3828761881920 has 168 divisors, whose sum is σ = 13206032536320. Its totient is φ = 1018158873600.

The previous prime is 3828761881913. The next prime is 3828761881927. The reversal of 3828761881920 is 291881678283.

3828761881920 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 7 + 618 + 8 + 1 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3828761881913) and next prime (3828761881927).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3828761881927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 817656 + ... + 2885495.

Almost surely, 2^{3828761881920} is an apocalyptic number.

3828761881920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3828761881920 is an abundant number, since it is smaller than the sum of its proper divisors (9377270654400).

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

3828761881920 is a wasteful number, since it uses less digits than its factorization.

3828761881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703533 (or 3703520 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 3828761881920 in words is "three trillion, eight hundred twenty-eight billion, seven hundred sixty-one million, eight hundred eighty-one thousand, nine hundred twenty".