352320276672 has 672 divisors, whose sum is σ = 1302806883840. Its totient is φ = 92543109120.

The previous prime is 352320276661. The next prime is 352320276673. The reversal of 352320276672 is 276672023253.

352320276672 is a `hidden beast` number, since 3 + 52 + 320 + 276 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (352320276673) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 364343133 + ... + 364344099.

It is an arithmetic number, because the mean of its divisors is an integer number (1938700720).

Almost surely, 2^352320276672 is an apocalyptic number.

352320276672 is a gapful number since it is divisible by the number (32) 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 352320276672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651403441920).

352320276672 is an abundant number, since it is smaller than the sum of its proper divisors (950486607168).

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

352320276672 is a wasteful number, since it uses less digits than its factorization.

352320276672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 352320276672 in words is "three hundred fifty-two billion, three hundred twenty million, two hundred seventy-six thousand, six hundred seventy-two".