3188816820 has 288 divisors, whose sum is σ = 11993619456. Its totient is φ = 669081600.

The previous prime is 3188816819. The next prime is 3188816863. The reversal of 3188816820 is 286188813.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 876405 + ... + 880035.

It is an arithmetic number, because the mean of its divisors is an integer number (41644512).

Almost surely, 2^3188816820 is an apocalyptic number.

3188816820 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 3188816820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5996809728).

3188816820 is an abundant number, since it is smaller than the sum of its proper divisors (8804802636).

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

3188816820 is a wasteful number, since it uses less digits than its factorization.

3188816820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 3188816820 is about 56469.6097029190. The cubic root of 3188816820 is about 1471.8939630267.

The spelling of 3188816820 in words is "three billion, one hundred eighty-eight million, eight hundred sixteen thousand, eight hundred twenty".