3875186477760 has 896 divisors, whose sum is σ = 14349262233600. Its totient is φ = 877852753920.

The previous prime is 3875186477713. The next prime is 3875186477819. The reversal of 3875186477760 is 677746815783.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2692971121 + ... + 2692972559.

It is an arithmetic number, because the mean of its divisors is an integer number (16014801600).

Almost surely, 2^{3875186477760} is an apocalyptic number.

3875186477760 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 3875186477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7174631116800).

3875186477760 is an abundant number, since it is smaller than the sum of its proper divisors (10474075755840).

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

3875186477760 is a wasteful number, since it uses less digits than its factorization.

3875186477760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 331914240, while the sum is 69.

The spelling of 3875186477760 in words is "three trillion, eight hundred seventy-five billion, one hundred eighty-six million, four hundred seventy-seven thousand, seven hundred sixty".