352628790375744 has 448 divisors, whose sum is σ = 1092740245401600. Its totient is φ = 111201929588736.

The previous prime is 352628790375737. The next prime is 352628790375761. The reversal of 352628790375744 is 447573097826253.

352628790375744 is a `hidden beast` number, since 3 + 5 + 26 + 2 + 87 + 90 + 375 + 74 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133926618652 + ... + 133926621284.

Almost surely, 2^{352628790375744} 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 352628790375744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546370122700800).

352628790375744 is an abundant number, since it is smaller than the sum of its proper divisors (740111455025856).

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

352628790375744 is a wasteful number, since it uses less digits than its factorization.

352628790375744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6787 (or 6771 counting only the distinct ones).

The product of its (nonzero) digits is 2133734400, while the sum is 72.

The spelling of 352628790375744 in words is "three hundred fifty-two trillion, six hundred twenty-eight billion, seven hundred ninety million, three hundred seventy-five thousand, seven hundred forty-four".