3849887361600 has 840 divisors, whose sum is σ = 16330234048128. Its totient is φ = 871409664000.

The previous prime is 3849887361569. The next prime is 3849887361623. The reversal of 3849887361600 is 61637889483.

3849887361600 is a `hidden beast` number, since 3 + 8 + 4 + 9 + 8 + 8 + 7 + 3 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 93421000 + ... + 93462200.

Almost surely, 2^{3849887361600} is an apocalyptic number.

3849887361600 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 3849887361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8165117024064).

3849887361600 is an abundant number, since it is smaller than the sum of its proper divisors (12480346686528).

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

3849887361600 is a wasteful number, since it uses less digits than its factorization.

3849887361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41345 (or 41321 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 3849887361600 in words is "three trillion, eight hundred forty-nine billion, eight hundred eighty-seven million, three hundred sixty-one thousand, six hundred".