352484352 has 352 divisors, whose sum is σ = 1218374400. Its totient is φ = 99532800.

The previous prime is 352484347. The next prime is 352484381. The reversal of 352484352 is 253484253.

352484352 is a `hidden beast` number, since 3 + 524 + 84 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

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

Its product of digits (115200) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5778402 + ... + 5778462.

Almost surely, 2^352484352 is an apocalyptic number.

352484352 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 352484352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609187200).

352484352 is an abundant number, since it is smaller than the sum of its proper divisors (865890048).

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

352484352 is a wasteful number, since it uses less digits than its factorization.

352484352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 352484352 is about 18774.5666261568. The cubic root of 352484352 is about 706.3933692598.

Subtracting from 352484352 its reverse (253484253), we obtain a palindrome (99000099).

It can be divided in two parts, 352484 and 352, that added together give a square (352836 = 594²).

The spelling of 352484352 in words is "three hundred fifty-two million, four hundred eighty-four thousand, three hundred fifty-two".