3284657735040 has 384 divisors, whose sum is σ = 12401492014080. Its totient is φ = 794476400640.

The previous prime is 3284657735039. The next prime is 3284657735087. The reversal of 3284657735040 is 405377564823.

It is a happy number.

3284657735040 is a `hidden beast` number, since 3 + 2 + 8 + 4 + 65 + 7 + 73 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28009969 + ... + 28126991.

It is an arithmetic number, because the mean of its divisors is an integer number (32295552120).

Almost surely, 2^{3284657735040} is an apocalyptic number.

3284657735040 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 3284657735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6200746007040).

3284657735040 is an abundant number, since it is smaller than the sum of its proper divisors (9116834279040).

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

3284657735040 is a wasteful number, since it uses less digits than its factorization.

3284657735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117502 (or 117487 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 3284657735040 in words is "three trillion, two hundred eighty-four billion, six hundred fifty-seven million, seven hundred thirty-five thousand, forty".