352621102680 has 1024 divisors, whose sum is σ = 1548376473600. Its totient is φ = 69237504000.

The previous prime is 352621102633. The next prime is 352621102697. The reversal of 352621102680 is 86201126253.

352621102680 is a `hidden beast` number, since 3 + 5 + 2 + 621 + 1 + 0 + 26 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 110850690 + ... + 110853870.

It is an arithmetic number, because the mean of its divisors is an integer number (1512086400).

Almost surely, 2^352621102680 is an apocalyptic number.

352621102680 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 352621102680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774188236800).

352621102680 is an abundant number, since it is smaller than the sum of its proper divisors (1195755370920).

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

352621102680 is a wasteful number, since it uses less digits than its factorization.

352621102680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3293 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 352621102680 in words is "three hundred fifty-two billion, six hundred twenty-one million, one hundred two thousand, six hundred eighty".