3268980624 has 160 divisors (see below), whose sum is σ = 10418055424. Its totient is φ = 860129280.

The previous prime is 3268980569. The next prime is 3268980629. The reversal of 3268980624 is 4260898623.

It is a Cunningham number, because it is equal to 57175²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3268980629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3201234 + ... + 3202254.

Almost surely, 2^3268980624 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 3268980624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209027712).

3268980624 is an abundant number, since it is smaller than the sum of its proper divisors (7149074800).

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

3268980624 is a wasteful number, since it uses less digits than its factorization.

3268980624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 3268980624 is about 57174.9999912549. Note that the first 5 decimals coincide. The cubic root of 3268980624 is about 1484.1260297448.

The spelling of 3268980624 in words is "three billion, two hundred sixty-eight million, nine hundred eighty thousand, six hundred twenty-four".