352762144 has 96 divisors (see below), whose sum is σ = 842075136. Its totient is φ = 142248960.

The previous prime is 352762141. The next prime is 352762183. The reversal of 352762144 is 441267253.

352762144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×352762144² = 248882260478953472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (352762141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256242 + ... + 257614.

It is an arithmetic number, because the mean of its divisors is an integer number (8771616).

Almost surely, 2^352762144 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 352762144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421037568).

352762144 is an abundant number, since it is smaller than the sum of its proper divisors (489312992).

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

352762144 is a wasteful number, since it uses less digits than its factorization.

352762144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1450 counting only the distinct ones).

The product of its digits is 40320, while the sum is 34.

The square root of 352762144 is about 18781.9632626624. The cubic root of 352762144 is about 706.5788894573.

The spelling of 352762144 in words is "three hundred fifty-two million, seven hundred sixty-two thousand, one hundred forty-four".