3861957864960 has 1440 divisors, whose sum is σ = 15627737885760. Its totient is φ = 908121341952.

The previous prime is 3861957864917. The next prime is 3861957864967. The reversal of 3861957864960 is 694687591683.

3861957864960 is a `hidden beast` number, since 3 + 8 + 6 + 1 + 9 + 57 + 86 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3861957864967) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5022051456 + ... + 5022052224.

It is an arithmetic number, because the mean of its divisors is an integer number (10852595754).

Almost surely, 2^{3861957864960} is an apocalyptic number.

3861957864960 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 3861957864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7813868942880).

3861957864960 is an abundant number, since it is smaller than the sum of its proper divisors (11765780020800).

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

3861957864960 is an frugal number, since it uses more digits than its factorization.

3861957864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 3861957864960 in words is "three trillion, eight hundred sixty-one billion, nine hundred fifty-seven million, eight hundred sixty-four thousand, nine hundred sixty".