3253885784640 has 896 divisors, whose sum is σ = 12352037068800. Its totient is φ = 813995661312.

The previous prime is 3253885784627. The next prime is 3253885784651. The reversal of 3253885784640 is 464875883523.

3253885784640 is a `hidden beast` number, since 3 + 2 + 53 + 8 + 8 + 578 + 4 + 6 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1422773577 + ... + 1422775863.

Almost surely, 2^{3253885784640} is an apocalyptic number.

3253885784640 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 3253885784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6176018534400).

3253885784640 is an abundant number, since it is smaller than the sum of its proper divisors (9098151284160).

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

3253885784640 is a wasteful number, since it uses less digits than its factorization.

3253885784640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 3253885784640 in words is "three trillion, two hundred fifty-three billion, eight hundred eighty-five million, seven hundred eighty-four thousand, six hundred forty".