1352848032 has 144 divisors (see below), whose sum is σ = 4288152960. Its totient is φ = 402057216.

The previous prime is 1352848001. The next prime is 1352848087. The reversal of 1352848032 is 2308482531.

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 an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 85753 + ... + 100295.

It is an arithmetic number, because the mean of its divisors is an integer number (29778840).

Almost surely, 2^1352848032 is an apocalyptic number.

1352848032 is a gapful number since it is divisible by the number (12) 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 1352848032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144076480).

1352848032 is an abundant number, since it is smaller than the sum of its proper divisors (2935304928).

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

1352848032 is a wasteful number, since it uses less digits than its factorization.

1352848032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14595 (or 14584 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1352848032 is about 36781.0825289305. The cubic root of 1352848032 is about 1105.9861066220.

The spelling of 1352848032 in words is "one billion, three hundred fifty-two million, eight hundred forty-eight thousand, thirty-two".