352139616 has 144 divisors (see below), whose sum is σ = 1084935600. Its totient is φ = 111103488.

The previous prime is 352139609. The next prime is 352139617. The reversal of 352139616 is 616931253.

352139616 is a `hidden beast` number, since 3 + 5 + 2 + 1 + 39 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352139617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311340 + ... + 312468.

It is an arithmetic number, because the mean of its divisors is an integer number (7534275).

Almost surely, 2^352139616 is an apocalyptic number.

352139616 is a gapful number since it is divisible by the number (36) 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 352139616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542467800).

352139616 is an abundant number, since it is smaller than the sum of its proper divisors (732795984).

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

352139616 is a wasteful number, since it uses less digits than its factorization.

352139616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1153 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 352139616 is about 18765.3834493197. The cubic root of 352139616 is about 706.1630056942.

The spelling of 352139616 in words is "three hundred fifty-two million, one hundred thirty-nine thousand, six hundred sixteen".