3205016640 has 448 divisors, whose sum is σ = 13035686400. Its totient is φ = 726147072.

The previous prime is 3205016611. The next prime is 3205016663. The reversal of 3205016640 is 466105023.

3205016640 is a `hidden beast` number, since 3 + 2 + 0 + 5 + 0 + 16 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11914426 + ... + 11914694.

Almost surely, 2^3205016640 is an apocalyptic number.

3205016640 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 3205016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6517843200).

3205016640 is an abundant number, since it is smaller than the sum of its proper divisors (9830669760).

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

3205016640 is a wasteful number, since it uses less digits than its factorization.

3205016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3205016640 is about 56612.8663821220. The cubic root of 3205016640 is about 1474.3822582222.

The spelling of 3205016640 in words is "three billion, two hundred five million, sixteen thousand, six hundred forty".