1382384640 has 704 divisors, whose sum is σ = 5810466816. Its totient is φ = 272498688.

The previous prime is 1382384629. The next prime is 1382384651. The reversal of 1382384640 is 464832831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1382384629) and next prime (1382384651).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32148459 + ... + 32148501.

It is an arithmetic number, because the mean of its divisors is an integer number (8253504).

Almost surely, 2^1382384640 is an apocalyptic number.

1382384640 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 1382384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905233408).

1382384640 is an abundant number, since it is smaller than the sum of its proper divisors (4428082176).

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

1382384640 is a wasteful number, since it uses less digits than its factorization.

1382384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 1382384640 is about 37180.4335639056. The cubic root of 1382384640 is about 1113.9771941950.

The spelling of 1382384640 in words is "one billion, three hundred eighty-two million, three hundred eighty-four thousand, six hundred forty".