3915601948944 has 135 divisors (see below), whose sum is σ = 12747889842597. Its totient is φ = 1118695923072.

The previous prime is 3915601948891. The next prime is 3915601948949. The reversal of 3915601948944 is 4498491065193.

The square root of 3915601948944 is 1978788.

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

3915601948944 is a `hidden beast` number, since 3 + 9 + 15 + 601 + 9 + 4 + 8 + 9 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8306499600 + 3907295449344 = 91140^2 + 1976688^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3915601948949) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 166206414 + ... + 166229970.

Almost surely, 2^{3915601948944} is an apocalyptic number.

3915601948944 is the 1978788-th square number.

It is an amenable number.

3915601948944 is an abundant number, since it is smaller than the sum of its proper divisors (8832287893653).

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

3915601948944 is an frugal number, since it uses more digits than its factorization.

3915601948944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47142 (or 23569 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 3915601948944 in words is "three trillion, nine hundred fifteen billion, six hundred one million, nine hundred forty-eight thousand, nine hundred forty-four".