1385290368 has 576 divisors, whose sum is σ = 5333065920. Its totient is φ = 340623360.

The previous prime is 1385290349. The next prime is 1385290381. The reversal of 1385290368 is 8630925831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14281296 + ... + 14281392.

It is an arithmetic number, because the mean of its divisors is an integer number (9258795).

Almost surely, 2^1385290368 is an apocalyptic number.

1385290368 is a gapful number since it is divisible by the number (18) 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 1385290368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666532960).

1385290368 is an abundant number, since it is smaller than the sum of its proper divisors (3947775552).

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

1385290368 is a wasteful number, since it uses less digits than its factorization.

1385290368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1385290368 is about 37219.4890883795. The cubic root of 1385290368 is about 1114.7571626911.

The spelling of 1385290368 in words is "one billion, three hundred eighty-five million, two hundred ninety thousand, three hundred sixty-eight".