3780170880 has 128 divisors (see below), whose sum is σ = 12464971200. Its totient is φ = 973271040.

The previous prime is 3780170879. The next prime is 3780170917. The reversal of 3780170880 is 880710873.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21735 + ... + 89625.

Almost surely, 2^3780170880 is an apocalyptic number.

3780170880 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 3780170880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6232485600).

3780170880 is an abundant number, since it is smaller than the sum of its proper divisors (8684800320).

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

3780170880 is a wasteful number, since it uses less digits than its factorization.

3780170880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67942 (or 67930 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 3780170880 is about 61483.0942617562. The cubic root of 3780170880 is about 1557.7717035718.

The spelling of 3780170880 in words is "three billion, seven hundred eighty million, one hundred seventy thousand, eight hundred eighty".