352413312 has 64 divisors (see below), whose sum is σ = 948028800. Its totient is φ = 115974144.

The previous prime is 352413277. The next prime is 352413317. The reversal of 352413312 is 213314253.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352413317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24528 + ... + 36144.

It is an arithmetic number, because the mean of its divisors is an integer number (14812950).

Almost surely, 2^352413312 is an apocalyptic number.

352413312 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 352413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474014400).

352413312 is an abundant number, since it is smaller than the sum of its proper divisors (595615488).

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

352413312 is a wasteful number, since it uses less digits than its factorization.

352413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11713 (or 11701 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 352413312 is about 18772.6746096554. The cubic root of 352413312 is about 706.3459103619.

Adding to 352413312 its reverse (213314253), we get a palindrome (565727565).

It can be divided in two parts, 3524 and 13312, that added together give a triangular number (16836 = T₁₈₃).

The spelling of 352413312 in words is "three hundred fifty-two million, four hundred thirteen thousand, three hundred twelve".