3783160080 has 320 divisors, whose sum is σ = 15081177600. Its totient is φ = 864442368.

The previous prime is 3783160013. The next prime is 3783160123. The reversal of 3783160080 is 800613873.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1223176 + ... + 1226264.

It is an arithmetic number, because the mean of its divisors is an integer number (47128680).

Almost surely, 2^3783160080 is an apocalyptic number.

3783160080 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 3783160080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7540588800).

3783160080 is an abundant number, since it is smaller than the sum of its proper divisors (11298017520).

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

3783160080 is an equidigital number, since it uses as much as digits as its factorization.

3783160080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3783160080 is about 61507.3985793579. The cubic root of 3783160080 is about 1558.1822021513.

The spelling of 3783160080 in words is "three billion, seven hundred eighty-three million, one hundred sixty thousand, eighty".