1395907968 has 256 divisors, whose sum is σ = 4674700800. Its totient is φ = 359202816.

The previous prime is 1395907967. The next prime is 1395907969. The reversal of 1395907968 is 8697095931.

It is an interprime number because it is at equal distance from previous prime (1395907967) and next prime (1395907969).

It is a super-3 number, since 3×1395907968³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1395907967) 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, 1502128 + ... + 1503056.

It is an arithmetic number, because the mean of its divisors is an integer number (18260550).

Almost surely, 2^1395907968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1395907968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337350400).

1395907968 is an abundant number, since it is smaller than the sum of its proper divisors (3278792832).

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

1395907968 is a wasteful number, since it uses less digits than its factorization.

1395907968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 57.

The square root of 1395907968 is about 37361.8517742362. The cubic root of 1395907968 is about 1117.5979472626.

The spelling of 1395907968 in words is "one billion, three hundred ninety-five million, nine hundred seven thousand, nine hundred sixty-eight".