3254048640 has 320 divisors, whose sum is σ = 11912004720. Its totient is φ = 846028800.

The previous prime is 3254048639. The next prime is 3254048663. The reversal of 3254048640 is 468404523.

3254048640 is a `hidden beast` number, since 3 + 2 + 5 + 4 + 0 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3254048595 and 3254048604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2124675 + ... + 2126205.

Almost surely, 2^3254048640 is an apocalyptic number.

3254048640 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 3254048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5956002360).

3254048640 is an abundant number, since it is smaller than the sum of its proper divisors (8657956080).

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

3254048640 is a wasteful number, since it uses less digits than its factorization.

3254048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3254048640 is about 57044.2691249524. The cubic root of 3254048640 is about 1481.8628600008.

The spelling of 3254048640 in words is "three billion, two hundred fifty-four million, forty-eight thousand, six hundred forty".