3280010800 has 240 divisors, whose sum is σ = 8989424640. Its totient is φ = 1139328000.

The previous prime is 3280010791. The next prime is 3280010807. The reversal of 3280010800 is 80100823.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3280010807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18959514 + ... + 18959686.

It is an arithmetic number, because the mean of its divisors is an integer number (37455936).

Almost surely, 2^3280010800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3280010800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4494712320).

3280010800 is an abundant number, since it is smaller than the sum of its proper divisors (5709413840).

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

3280010800 is a wasteful number, since it uses less digits than its factorization.

3280010800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 3280010800 is about 57271.3785411177. The cubic root of 3280010800 is about 1485.7933990346.

The spelling of 3280010800 in words is "three billion, two hundred eighty million, ten thousand, eight hundred".