3249866880 has 1024 divisors, whose sum is σ = 14065228800. Its totient is φ = 700710912.

The previous prime is 3249866869. The next prime is 3249866887. The reversal of 3249866880 is 886689423.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3249866887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87834222 + ... + 87834258.

It is an arithmetic number, because the mean of its divisors is an integer number (13735575).

Almost surely, 2^3249866880 is an apocalyptic number.

3249866880 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 3249866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032614400).

3249866880 is an abundant number, since it is smaller than the sum of its proper divisors (10815361920).

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

3249866880 is a wasteful number, since it uses less digits than its factorization.

3249866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 3249866880 is about 57007.6037033657. The cubic root of 3249866880 is about 1481.2278099544.

The spelling of 3249866880 in words is "three billion, two hundred forty-nine million, eight hundred sixty-six thousand, eight hundred eighty".