1352739700 has 72 divisors (see below), whose sum is σ = 3179267000. Its totient is φ = 496627200.

The previous prime is 1352739679. The next prime is 1352739701. The reversal of 1352739700 is 79372531.

It can be written as a sum of positive squares in 12 ways, for example, as 1312467984 + 40271716 = 36228^2 + 6346^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1352739700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352739701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232426 + ... + 238174.

Almost surely, 2^1352739700 is an apocalyptic number.

1352739700 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 1352739700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589633500).

1352739700 is an abundant number, since it is smaller than the sum of its proper divisors (1826527300).

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

1352739700 is a wasteful number, since it uses less digits than its factorization.

1352739700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5957 (or 5950 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 37.

The square root of 1352739700 is about 36779.6098402362. The cubic root of 1352739700 is about 1105.9565844874.

The spelling of 1352739700 in words is "one billion, three hundred fifty-two million, seven hundred thirty-nine thousand, seven hundred".