3862838453760 has 2560 divisors, whose sum is σ = 17277694156800. Its totient is φ = 804065771520.

The previous prime is 3862838453753. The next prime is 3862838453801. The reversal of 3862838453760 is 673548382683.

3862838453760 is a `hidden beast` number, since 3 + 8 + 6 + 2 + 8 + 38 + 4 + 537 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12582535527 + ... + 12582535833.

It is an arithmetic number, because the mean of its divisors is an integer number (6749099280).

Almost surely, 2^{3862838453760} is an apocalyptic number.

3862838453760 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 3862838453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8638847078400).

3862838453760 is an abundant number, since it is smaller than the sum of its proper divisors (13414855703040).

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

3862838453760 is a wasteful number, since it uses less digits than its factorization.

3862838453760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 3862838453760 in words is "three trillion, eight hundred sixty-two billion, eight hundred thirty-eight million, four hundred fifty-three thousand, seven hundred sixty".