3338932544640 has 2560 divisors, whose sum is σ = 15541962670080. Its totient is φ = 668412518400.

The previous prime is 3338932544639. The next prime is 3338932544653. The reversal of 3338932544640 is 464452398333.

3338932544640 is a `hidden beast` number, since 3 + 3 + 3 + 8 + 9 + 32 + 544 + 64 + 0 = 666.

It is a super-2 number, since 2×3338932544640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 14972791569 + ... + 14972791791.

It is an arithmetic number, because the mean of its divisors is an integer number (6071079168).

Almost surely, 2^{3338932544640} is an apocalyptic number.

3338932544640 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 3338932544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7770981335040).

3338932544640 is an abundant number, since it is smaller than the sum of its proper divisors (12203030125440).

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

3338932544640 is a wasteful number, since it uses less digits than its factorization.

3338932544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 3338932544640 in words is "three trillion, three hundred thirty-eight billion, nine hundred thirty-two million, five hundred forty-four thousand, six hundred forty".