3876611880960 has 2592 divisors, whose sum is σ = 17645031200160. Its totient is φ = 770144993280.

The previous prime is 3876611880907. The next prime is 3876611880961. The reversal of 3876611880960 is 690881166783.

3876611880960 is a `hidden beast` number, since 3 + 8 + 7 + 6 + 611 + 8 + 8 + 0 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3876611880961) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 104773294062 + ... + 104773294098.

It is an arithmetic number, because the mean of its divisors is an integer number (6807496605).

Almost surely, 2^{3876611880960} is an apocalyptic number.

3876611880960 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 3876611880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8822515600080).

3876611880960 is an abundant number, since it is smaller than the sum of its proper divisors (13768419319200).

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

3876611880960 is a wasteful number, since it uses less digits than its factorization.

3876611880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 3876611880960 in words is "three trillion, eight hundred seventy-six billion, six hundred eleven million, eight hundred eighty thousand, nine hundred sixty".