3128770800 has 180 divisors, whose sum is σ = 11260190760. Its totient is φ = 834312960.

The previous prime is 3128770789. The next prime is 3128770807. The reversal of 3128770800 is 80778213.

3128770800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3128770807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81106 + ... + 113294.

Almost surely, 2^3128770800 is an apocalyptic number.

3128770800 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 3128770800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5630095380).

3128770800 is an abundant number, since it is smaller than the sum of its proper divisors (8131419960).

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

3128770800 is a wasteful number, since it uses less digits than its factorization.

3128770800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32222 (or 32199 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 3128770800 is about 55935.4163299068. The cubic root of 3128770800 is about 1462.5966799993.

The spelling of 3128770800 in words is "three billion, one hundred twenty-eight million, seven hundred seventy thousand, eight hundred".