3780544080 has 80 divisors (see below), whose sum is σ = 11746123200. Its totient is φ = 1005871104.

The previous prime is 3780544051. The next prime is 3780544093. The reversal of 3780544080 is 804450873.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90219 + ... + 125301.

It is an arithmetic number, because the mean of its divisors is an integer number (146826540).

Almost surely, 2^3780544080 is an apocalyptic number.

3780544080 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 3780544080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5873061600).

3780544080 is an abundant number, since it is smaller than the sum of its proper divisors (7965579120).

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

3780544080 is a wasteful number, since it uses less digits than its factorization.

3780544080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35548 (or 35542 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 3780544080 is about 61486.1291674797. The cubic root of 3780544080 is about 1557.8229659166.

The spelling of 3780544080 in words is "three billion, seven hundred eighty million, five hundred forty-four thousand, eighty".