3778778880 has 216 divisors, whose sum is σ = 13526210880. Its totient is φ = 972840960.

The previous prime is 3778778867. The next prime is 3778778893. The reversal of 3778778880 is 888778773.

It is an interprime number because it is at equal distance from previous prime (3778778867) and next prime (3778778893).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328425 + ... + 339735.

Almost surely, 2^3778778880 is an apocalyptic number.

3778778880 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 3778778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6763105440).

3778778880 is an abundant number, since it is smaller than the sum of its proper divisors (9747432000).

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

3778778880 is a wasteful number, since it uses less digits than its factorization.

3778778880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11367 (or 11350 counting only the distinct ones).

The product of its (nonzero) digits is 29503488, while the sum is 63.

The square root of 3778778880 is about 61471.7730344587. The cubic root of 3778778880 is about 1557.5804702035.

The spelling of 3778778880 in words is "three billion, seven hundred seventy-eight million, seven hundred seventy-eight thousand, eight hundred eighty".