3780758016 has 480 divisors, whose sum is σ = 13618176000. Its totient is φ = 985374720.

The previous prime is 3780758011. The next prime is 3780758029. The reversal of 3780758016 is 6108570873.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3780758011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18998685 + ... + 18998883.

It is an arithmetic number, because the mean of its divisors is an integer number (28371200).

Almost surely, 2^3780758016 is an apocalyptic number.

3780758016 is a gapful number since it is divisible by the number (36) 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 3780758016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6809088000).

3780758016 is an abundant number, since it is smaller than the sum of its proper divisors (9837417984).

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

3780758016 is a wasteful number, since it uses less digits than its factorization.

3780758016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 3780758016 is about 61487.8688523192. The cubic root of 3780758016 is about 1557.8523504109.

The spelling of 3780758016 in words is "three billion, seven hundred eighty million, seven hundred fifty-eight thousand, sixteen".