3780110880 has 648 divisors, whose sum is σ = 16300023012. Its totient is φ = 795045888.

The previous prime is 3780110869. The next prime is 3780110921. The reversal of 3780110880 is 880110873.

It can be written as a sum of positive squares in 6 ways, for example, as 9659664 + 3770451216 = 3108^2 + 61404^2 .

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 107 ways as a sum of consecutive naturals, for example, 11924482 + ... + 11924798.

Almost surely, 2^3780110880 is an apocalyptic number.

3780110880 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 3780110880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8150011506).

3780110880 is an abundant number, since it is smaller than the sum of its proper divisors (12519912132).

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

3780110880 is a wasteful number, since it uses less digits than its factorization.

3780110880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 3780110880 is about 61482.6063208124. The cubic root of 3780110880 is about 1557.7634617224.

The spelling of 3780110880 in words is "three billion, seven hundred eighty million, one hundred ten thousand, eight hundred eighty".