3816201480 has 512 divisors, whose sum is σ = 15209026560. Its totient is φ = 743178240.

The previous prime is 3816201461. The next prime is 3816201491. The reversal of 3816201480 is 841026183.

3816201480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3816201480³ (a number of 30 digits) contains 333 as substring.

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, 11323872 + ... + 11324208.

It is an arithmetic number, because the mean of its divisors is an integer number (29705130).

Almost surely, 2^3816201480 is an apocalyptic number.

3816201480 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 3816201480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7604513280).

3816201480 is an abundant number, since it is smaller than the sum of its proper divisors (11392825080).

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

3816201480 is a wasteful number, since it uses less digits than its factorization.

3816201480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 3816201480 is about 61775.4116133596. The cubic root of 3816201480 is about 1562.7053484140.

The spelling of 3816201480 in words is "three billion, eight hundred sixteen million, two hundred one thousand, four hundred eighty".