3810132480 has 640 divisors, whose sum is σ = 16121825280. Its totient is φ = 743178240.

The previous prime is 3810132479. The next prime is 3810132481. The reversal of 3810132480 is 842310183.

It is an interprime number because it is at equal distance from previous prime (3810132479) and next prime (3810132481).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3810132481) 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, 10052931 + ... + 10053309.

It is an arithmetic number, because the mean of its divisors is an integer number (25190352).

Almost surely, 2^3810132480 is an apocalyptic number.

3810132480 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 3810132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8060912640).

3810132480 is an abundant number, since it is smaller than the sum of its proper divisors (12311692800).

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

3810132480 is a wasteful number, since it uses less digits than its factorization.

3810132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 3810132480 is about 61726.2705823056. The cubic root of 3810132480 is about 1561.8765058390.

The spelling of 3810132480 in words is "three billion, eight hundred ten million, one hundred thirty-two thousand, four hundred eighty".