3861476673600 has 1512 divisors, whose sum is σ = 16801268444640. Its totient is φ = 771697704960.

The previous prime is 3861476673589. The next prime is 3861476673617. The reversal of 3861476673600 is 63766741683.

It is a super-2 number, since 2×3861476673600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 755224644 + ... + 755229756.

Almost surely, 2^{3861476673600} is an apocalyptic number.

3861476673600 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 3861476673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8400634222320).

3861476673600 is an abundant number, since it is smaller than the sum of its proper divisors (12939791771040).

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

3861476673600 is a wasteful number, since it uses less digits than its factorization.

3861476673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5197 (or 5162 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 57.

The spelling of 3861476673600 in words is "three trillion, eight hundred sixty-one billion, four hundred seventy-six million, six hundred seventy-three thousand, six hundred".