3895823278656 has 63 divisors (see below), whose sum is σ = 11166809797273. Its totient is φ = 1298591969280.

The previous prime is 3895823278651. The next prime is 3895823278657. The reversal of 3895823278656 is 6568723285983.

The square root of 3895823278656 is 1973784.

It is a perfect power (a square), and thus also a powerful number.

3895823278656 is a `hidden beast` number, since 3 + 8 + 9 + 582 + 32 + 7 + 8 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1615481672256 + 2280341606400 = 1271016^2 + 1510080^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3895823278651) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 47329696 + ... + 47411936.

Almost surely, 2^{3895823278656} is an apocalyptic number.

3895823278656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3895823278656 is the 1973784-th square number.

It is an amenable number.

3895823278656 is an abundant number, since it is smaller than the sum of its proper divisors (7270986518617).

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

3895823278656 is an frugal number, since it uses more digits than its factorization.

3895823278656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164500 (or 82246 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 3895823278656 in words is "three trillion, eight hundred ninety-five billion, eight hundred twenty-three million, two hundred seventy-eight thousand, six hundred fifty-six".