3248825760 has 120 divisors (see below), whose sum is σ = 11465693316. Its totient is φ = 866350080.

The previous prime is 3248825759. The next prime is 3248825771. The reversal of 3248825760 is 675288423.

3248825760 is a `hidden beast` number, since 32 + 48 + 8 + 2 + 576 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3223059984 + 25765776 = 56772^2 + 5076^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 112381 + ... + 138300.

Almost surely, 2^3248825760 is an apocalyptic number.

3248825760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3248825760 is an abundant number, since it is smaller than the sum of its proper divisors (8216867556).

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

3248825760 is a wasteful number, since it uses less digits than its factorization.

3248825760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250708 (or 250691 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3248825760 is about 56998.4715584550. The cubic root of 3248825760 is about 1481.0696187974.

The spelling of 3248825760 in words is "three billion, two hundred forty-eight million, eight hundred twenty-five thousand, seven hundred sixty".