3781935360 has 576 divisors, whose sum is σ = 15607656960. Its totient is φ = 859963392.

The previous prime is 3781935337. The next prime is 3781935361. The reversal of 3781935360 is 635391873.

3781935360 is a `hidden beast` number, since 37 + 81 + 9 + 3 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3781935361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19595424 + ... + 19595616.

Almost surely, 2^3781935360 is an apocalyptic number.

3781935360 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 3781935360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7803828480).

3781935360 is an abundant number, since it is smaller than the sum of its proper divisors (11825721600).

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

3781935360 is an frugal number, since it uses more digits than its factorization.

3781935360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3781935360 is about 61497.4418980172. The cubic root of 3781935360 is about 1558.0140408935.

The spelling of 3781935360 in words is "three billion, seven hundred eighty-one million, nine hundred thirty-five thousand, three hundred sixty".