3786788880 has 400 divisors, whose sum is σ = 15521577984. Its totient is φ = 837319680.

The previous prime is 3786788807. The next prime is 3786788881. The reversal of 3786788880 is 888876873.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3786788881) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1404814 + ... + 1407506.

Almost surely, 2^3786788880 is an apocalyptic number.

3786788880 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 3786788880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7760788992).

3786788880 is an abundant number, since it is smaller than the sum of its proper divisors (11734789104).

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

3786788880 is a wasteful number, since it uses less digits than its factorization.

3786788880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The square root of 3786788880 is about 61536.8903991744. The cubic root of 3786788880 is about 1558.6802447527.

The spelling of 3786788880 in words is "three billion, seven hundred eighty-six million, seven hundred eighty-eight thousand, eight hundred eighty".