3877331209920 has 2688 divisors, whose sum is σ = 17320240005120. Its totient is φ = 776355840000.

The previous prime is 3877331209907. The next prime is 3877331209933. The reversal of 3877331209920 is 299021337783.

3877331209920 is a `hidden beast` number, since 3 + 87 + 7 + 331 + 209 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3877331209907) and next prime (3877331209933).

It is a super-2 number, since 2×3877331209920² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 38389417870 + ... + 38389417970.

Almost surely, 2^{3877331209920} is an apocalyptic number.

3877331209920 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 3877331209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8660120002560).

3877331209920 is an abundant number, since it is smaller than the sum of its proper divisors (13442908795200).

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

3877331209920 is a wasteful number, since it uses less digits than its factorization.

3877331209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 3877331209920 in words is "three trillion, eight hundred seventy-seven billion, three hundred thirty-one million, two hundred nine thousand, nine hundred twenty".