1382724000 has 768 divisors, whose sum is σ = 6038323200. Its totient is φ = 300672000.

The previous prime is 1382723987. The next prime is 1382724017. The reversal of 1382724000 is 4272831.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 23435971 + ... + 23436029.

It is an arithmetic number, because the mean of its divisors is an integer number (7862400).

Almost surely, 2^1382724000 is an apocalyptic number.

1382724000 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 1382724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019161600).

1382724000 is an abundant number, since it is smaller than the sum of its proper divisors (4655599200).

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

1382724000 is a wasteful number, since it uses less digits than its factorization.

1382724000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1382724000 is about 37184.9969745864. The cubic root of 1382724000 is about 1114.0683430594.

Adding to 1382724000 its reverse (4272831), we get a palindrome (1386996831).

The spelling of 1382724000 in words is "one billion, three hundred eighty-two million, seven hundred twenty-four thousand".