3817860480 has 672 divisors, whose sum is σ = 16013849040. Its totient is φ = 867428352.

The previous prime is 3817860461. The next prime is 3817860481. The reversal of 3817860480 is 840687183.

3817860480 is a `hidden beast` number, since 38 + 1 + 7 + 8 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3817860481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 22861357 + ... + 22861523.

Almost surely, 2^3817860480 is an apocalyptic number.

3817860480 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 3817860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8006924520).

3817860480 is an abundant number, since it is smaller than the sum of its proper divisors (12195988560).

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

3817860480 is an equidigital number, since it uses as much as digits as its factorization.

3817860480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 3817860480 is about 61788.8378269085. The cubic root of 3817860480 is about 1562.9317648823.

The spelling of 3817860480 in words is "three billion, eight hundred seventeen million, eight hundred sixty thousand, four hundred eighty".