3895464960001 has 8 divisors (see below), whose sum is σ = 4105263010400. Its totient is φ = 3686144267520.

The previous prime is 3895464959983. The next prime is 3895464960019. The reversal of 3895464960001 is 1000694645983.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3895464959983) and next prime (3895464960019).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3895464960001 - 2⁷ = 3895464959873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3895464960091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119322720 + ... + 119355361.

It is an arithmetic number, because the mean of its divisors is an integer number (513157876300).

Almost surely, 2^{3895464960001} is an apocalyptic number.

It is an amenable number.

3895464960001 is a deficient number, since it is larger than the sum of its proper divisors (209798050399).

3895464960001 is a wasteful number, since it uses less digits than its factorization.

3895464960001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238678959.

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 3895464960001 in words is "three trillion, eight hundred ninety-five billion, four hundred sixty-four million, nine hundred sixty thousand, one".