3861384400 has 60 divisors (see below), whose sum is σ = 9321146464. Its totient is φ = 1537200000.

The previous prime is 3861384379. The next prime is 3861384413. The reversal of 3861384400 is 44831683.

It is a self number, because there is not a number n which added to its sum of digits gives 3861384400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61525 + ... + 107275.

Almost surely, 2^3861384400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3861384400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660573232).

3861384400 is an abundant number, since it is smaller than the sum of its proper divisors (5459762064).

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

3861384400 is a wasteful number, since it uses less digits than its factorization.

3861384400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45980 (or 45969 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 3861384400 is about 62140.0386224534. The cubic root of 3861384400 is about 1568.8485207672.

The spelling of 3861384400 in words is "three billion, eight hundred sixty-one million, three hundred eighty-four thousand, four hundred".