1395784320 has 512 divisors, whose sum is σ = 5552064000. Its totient is φ = 290979840.

The previous prime is 1395784319. The next prime is 1395784363. The reversal of 1395784320 is 234875931.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 9367606 + ... + 9367754.

It is an arithmetic number, because the mean of its divisors is an integer number (10843875).

Almost surely, 2^1395784320 is an apocalyptic number.

1395784320 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 1395784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776032000).

1395784320 is an abundant number, since it is smaller than the sum of its proper divisors (4156279680).

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

1395784320 is a wasteful number, since it uses less digits than its factorization.

1395784320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 1395784320 is about 37360.1970016219. The cubic root of 1395784320 is about 1117.5649477540.

The spelling of 1395784320 in words is "one billion, three hundred ninety-five million, seven hundred eighty-four thousand, three hundred twenty".