1397347200 has 336 divisors, whose sum is σ = 5184099000. Its totient is φ = 372003840.

The previous prime is 1397347187. The next prime is 1397347253. The reversal of 1397347200 is 27437931.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 2332501 + ... + 2333099.

Almost surely, 2^1397347200 is an apocalyptic number.

1397347200 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 1397347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592049500).

1397347200 is an abundant number, since it is smaller than the sum of its proper divisors (3786751800).

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

1397347200 is an frugal number, since it uses more digits than its factorization.

1397347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 1397347200 is about 37381.1075277338. The cubic root of 1397347200 is about 1117.9819100741.

The spelling of 1397347200 in words is "one billion, three hundred ninety-seven million, three hundred forty-seven thousand, two hundred".