352665672 has 64 divisors (see below), whose sum is σ = 921231360. Its totient is φ = 112372800.

The previous prime is 352665671. The next prime is 352665673. The reversal of 352665672 is 276566253.

352665672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (352665671) and next prime (352665673).

It is a super-3 number, since 3×352665672³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (352665671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58897 + ... + 64607.

It is an arithmetic number, because the mean of its divisors is an integer number (14394240).

Almost surely, 2^352665672 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 352665672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460615680).

352665672 is an abundant number, since it is smaller than the sum of its proper divisors (568565688).

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

352665672 is a wasteful number, since it uses less digits than its factorization.

352665672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5834 (or 5830 counting only the distinct ones).

The product of its digits is 453600, while the sum is 42.

The square root of 352665672 is about 18779.3948784299. The cubic root of 352665672 is about 706.5144727821.

The spelling of 352665672 in words is "three hundred fifty-two million, six hundred sixty-five thousand, six hundred seventy-two".