352652976000 has 1152 divisors, whose sum is σ = 1407435812640. Its totient is φ = 84536524800.

The previous prime is 352652975921. The next prime is 352652976007. The reversal of 352652976000 is 679256253.

352652976000 is a `hidden beast` number, since 3 + 52 + 6 + 529 + 76 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352652976007) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1046447832 + ... + 1046448168.

Almost surely, 2^352652976000 is an apocalyptic number.

352652976000 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 352652976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703717906320).

352652976000 is an abundant number, since it is smaller than the sum of its proper divisors (1054782836640).

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

352652976000 is a wasteful number, since it uses less digits than its factorization.

352652976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 352652976000 in words is "three hundred fifty-two billion, six hundred fifty-two million, nine hundred seventy-six thousand".