1352947344 has 80 divisors (see below), whose sum is σ = 3998791680. Its totient is φ = 386133120.

The previous prime is 1352947339. The next prime is 1352947373. The reversal of 1352947344 is 4437492531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1352947296 and 1352947305.

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 15 ways as a sum of consecutive naturals, for example, 432217 + ... + 435335.

It is an arithmetic number, because the mean of its divisors is an integer number (49984896).

Almost surely, 2^1352947344 is an apocalyptic number.

1352947344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1352947344 is an abundant number, since it is smaller than the sum of its proper divisors (2645844336).

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

1352947344 is a wasteful number, since it uses less digits than its factorization.

1352947344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4428 (or 4422 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 1352947344 is about 36782.4325459859. The cubic root of 1352947344 is about 1106.0131692834.

The spelling of 1352947344 in words is "one billion, three hundred fifty-two million, nine hundred forty-seven thousand, three hundred forty-four".