3288972048 has 160 divisors (see below), whose sum is σ = 9514391040. Its totient is φ = 972933120.

The previous prime is 3288972047. The next prime is 3288972053. The reversal of 3288972048 is 8402798823.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (3288972047) 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, 4759383 + ... + 4760073.

It is an arithmetic number, because the mean of its divisors is an integer number (59464944).

Almost surely, 2^3288972048 is an apocalyptic number.

3288972048 is a gapful number since it is divisible by the number (38) 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 3288972048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4757195520).

3288972048 is an abundant number, since it is smaller than the sum of its proper divisors (6225418992).

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

3288972048 is a wasteful number, since it uses less digits than its factorization.

3288972048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The square root of 3288972048 is about 57349.5601378075. The cubic root of 3288972048 is about 1487.1452701949.

The spelling of 3288972048 in words is "three billion, two hundred eighty-eight million, nine hundred seventy-two thousand, forty-eight".