1352652800 has 144 divisors (see below), whose sum is σ = 3473215200. Its totient is φ = 521830400.

The previous prime is 1352652757. The next prime is 1352652823. The reversal of 1352652800 is 82562531.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1484345 + ... + 1485255.

It is an arithmetic number, because the mean of its divisors is an integer number (24119550).

Almost surely, 2^1352652800 is an apocalyptic number.

1352652800 is a gapful number since it is divisible by the number (10) 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 1352652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736607600).

1352652800 is an abundant number, since it is smaller than the sum of its proper divisors (2120562400).

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

1352652800 is an equidigital number, since it uses as much as digits as its factorization.

1352652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 1352652800 is about 36778.4284601721. The cubic root of 1352652800 is about 1105.9329017628.

The spelling of 1352652800 in words is "one billion, three hundred fifty-two million, six hundred fifty-two thousand, eight hundred".