3775881200 has 480 divisors, whose sum is σ = 11947152000. Its totient is φ = 1137991680.

The previous prime is 3775881157. The next prime is 3775881209. The reversal of 3775881200 is 21885773.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3775881209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51724364 + ... + 51724436.

It is an arithmetic number, because the mean of its divisors is an integer number (24889900).

Almost surely, 2^3775881200 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 3775881200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5973576000).

3775881200 is an abundant number, since it is smaller than the sum of its proper divisors (8171270800).

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

3775881200 is a wasteful number, since it uses less digits than its factorization.

3775881200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 41.

The square root of 3775881200 is about 61448.1993226815. The cubic root of 3775881200 is about 1557.1822353880.

The spelling of 3775881200 in words is "three billion, seven hundred seventy-five million, eight hundred eighty-one thousand, two hundred".