1395372096 has 336 divisors, whose sum is σ = 4473391104. Its totient is φ = 430189056.

The previous prime is 1395372061. The next prime is 1395372101. The reversal of 1395372096 is 6902735931.

1395372096 is a `hidden beast` number, since 1 + 3 + 9 + 537 + 20 + 96 = 666.

It is a super-3 number, since 3×1395372096³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16811671 + ... + 16811753.

It is an arithmetic number, because the mean of its divisors is an integer number (13313664).

Almost surely, 2^1395372096 is an apocalyptic number.

1395372096 is a gapful number since it is divisible by the number (16) 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 1395372096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236695552).

1395372096 is an abundant number, since it is smaller than the sum of its proper divisors (3078019008).

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

1395372096 is an equidigital number, since it uses as much as digits as its factorization.

1395372096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 1395372096 is about 37354.6797068319. The cubic root of 1395372096 is about 1117.4549182300.

The spelling of 1395372096 in words is "one billion, three hundred ninety-five million, three hundred seventy-two thousand, ninety-six".