1395844320 has 192 divisors, whose sum is σ = 4755179520. Its totient is φ = 342140928.

The previous prime is 1395844297. The next prime is 1395844337. The reversal of 1395844320 is 234485931.

It is a Cunningham number, because it is equal to 37361²-1.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2913841 + ... + 2914319.

It is an arithmetic number, because the mean of its divisors is an integer number (24766560).

Almost surely, 2^1395844320 is an apocalyptic number.

1395844320 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 1395844320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377589760).

1395844320 is an abundant number, since it is smaller than the sum of its proper divisors (3359335200).

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

1395844320 is a wasteful number, since it uses less digits than its factorization.

1395844320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 1395844320 is about 37360.9999866171. Note that the first 4 decimals coincide. The cubic root of 1395844320 is about 1117.5809609577.

The spelling of 1395844320 in words is "one billion, three hundred ninety-five million, eight hundred forty-four thousand, three hundred twenty".