1395888768 has 256 divisors, whose sum is σ = 4556217600. Its totient is φ = 418480128.

The previous prime is 1395888761. The next prime is 1395888773. The reversal of 1395888768 is 8678885931.

It is not an unprimeable number, because it can be changed into a prime (1395888761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1350780 + ... + 1351812.

It is an arithmetic number, because the mean of its divisors is an integer number (17797725).

Almost surely, 2^1395888768 is an apocalyptic number.

1395888768 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 1395888768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278108800).

1395888768 is an abundant number, since it is smaller than the sum of its proper divisors (3160328832).

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

1395888768 is a wasteful number, since it uses less digits than its factorization.

1395888768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1078 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 63.

The square root of 1395888768 is about 37361.5948267737. The cubic root of 1395888768 is about 1117.5928232431.

The spelling of 1395888768 in words is "one billion, three hundred ninety-five million, eight hundred eighty-eight thousand, seven hundred sixty-eight".