3860458680960 has 864 divisors, whose sum is σ = 16366628315700. Its totient is φ = 835926884352.

The previous prime is 3860458680901. The next prime is 3860458680977. The reversal of 3860458680960 is 690868540683.

3860458680960 is a `hidden beast` number, since 3 + 8 + 60 + 458 + 68 + 0 + 9 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3680227865664 + 180230815296 = 1918392^2 + 424536^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 101869696 + ... + 101907584.

Almost surely, 2^{3860458680960} is an apocalyptic number.

3860458680960 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 3860458680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8183314157850).

3860458680960 is an abundant number, since it is smaller than the sum of its proper divisors (12506169634740).

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

3860458680960 is a wasteful number, since it uses less digits than its factorization.

3860458680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37966 (or 37925 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 3860458680960 in words is "three trillion, eight hundred sixty billion, four hundred fifty-eight million, six hundred eighty thousand, nine hundred sixty".