3788214980880 has 320 divisors, whose sum is σ = 12986954995968. Its totient is φ = 905831546880.

The previous prime is 3788214980867. The next prime is 3788214980951. The reversal of 3788214980880 is 880894128873.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56750404 + ... + 56817116.

Almost surely, 2^{3788214980880} is an apocalyptic number.

3788214980880 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 3788214980880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6493477497984).

3788214980880 is an abundant number, since it is smaller than the sum of its proper divisors (9198740015088).

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

3788214980880 is a wasteful number, since it uses less digits than its factorization.

3788214980880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67034 (or 67028 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 66.

The spelling of 3788214980880 in words is "three trillion, seven hundred eighty-eight billion, two hundred fourteen million, nine hundred eighty thousand, eight hundred eighty".