3248876880 has 480 divisors, whose sum is σ = 12182077440. Its totient is φ = 772623360.

The previous prime is 3248876879. The next prime is 3248876923. The reversal of 3248876880 is 886788423.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 19931679 + ... + 19931841.

It is an arithmetic number, because the mean of its divisors is an integer number (25379328).

Almost surely, 2^3248876880 is an apocalyptic number.

3248876880 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 3248876880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6091038720).

3248876880 is an abundant number, since it is smaller than the sum of its proper divisors (8933200560).

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

3248876880 is a wasteful number, since it uses less digits than its factorization.

3248876880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The square root of 3248876880 is about 56998.9199897682. The cubic root of 3248876880 is about 1481.0773869253.

The spelling of 3248876880 in words is "three billion, two hundred forty-eight million, eight hundred seventy-six thousand, eight hundred eighty".