3875749785600 has 1872 divisors, whose sum is σ = 16506733858560. Its totient is φ = 793273958400.

The previous prime is 3875749785577. The next prime is 3875749785601. The reversal of 3875749785600 is 65879475783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3875749785601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14736691069 + ... + 14736691331.

Almost surely, 2^{3875749785600} is an apocalyptic number.

3875749785600 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 3875749785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8253366929280).

3875749785600 is an abundant number, since it is smaller than the sum of its proper divisors (12630984072960).

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

3875749785600 is a wasteful number, since it uses less digits than its factorization.

3875749785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 355622400, while the sum is 69.

The spelling of 3875749785600 in words is "three trillion, eight hundred seventy-five billion, seven hundred forty-nine million, seven hundred eighty-five thousand, six hundred".