3775887360 has 384 divisors, whose sum is σ = 15347404800. Its totient is φ = 862617600.

The previous prime is 3775887337. The next prime is 3775887361. The reversal of 3775887360 is 637885773.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3775887297 and 3775887306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3775887361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1934385 + ... + 1936335.

It is an arithmetic number, because the mean of its divisors is an integer number (39967200).

Almost surely, 2^3775887360 is an apocalyptic number.

3775887360 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 3775887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7673702400).

3775887360 is an abundant number, since it is smaller than the sum of its proper divisors (11571517440).

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

3775887360 is a wasteful number, since it uses less digits than its factorization.

3775887360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The square root of 3775887360 is about 61448.2494461803. The cubic root of 3775887360 is about 1557.1830821870.

The spelling of 3775887360 in words is "three billion, seven hundred seventy-five million, eight hundred eighty-seven thousand, three hundred sixty".