3357874657728 has 560 divisors, whose sum is σ = 10620608232960. Its totient is φ = 1046705780736.

The previous prime is 3357874657723. The next prime is 3357874657741. The reversal of 3357874657728 is 8277564787533.

3357874657728 is a `hidden beast` number, since 3 + 3 + 5 + 7 + 8 + 7 + 46 + 577 + 2 + 8 = 666.

It is a super-2 number, since 2×3357874657728² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3357874657723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1385832325 + ... + 1385834747.

Almost surely, 2^{3357874657728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3357874657728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5310304116480).

3357874657728 is an abundant number, since it is smaller than the sum of its proper divisors (7262733575232).

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

3357874657728 is a wasteful number, since it uses less digits than its factorization.

3357874657728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2707 counting only the distinct ones).

The product of its digits is 1659571200, while the sum is 72.

The spelling of 3357874657728 in words is "three trillion, three hundred fifty-seven billion, eight hundred seventy-four million, six hundred fifty-seven thousand, seven hundred twenty-eight".