3930445145088 has 792 divisors, whose sum is σ = 15007607684160. Its totient is φ = 967127040000.

The previous prime is 3930445145083. The next prime is 3930445145111. The reversal of 3930445145088 is 8805415440393.

It is a happy number.

3930445145088 is a `hidden beast` number, since 3 + 9 + 3 + 0 + 44 + 514 + 5 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is not an unprimeable number, because it can be changed into a prime (3930445145083) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 148299838 + ... + 148326338.

Almost surely, 2^{3930445145088} is an apocalyptic number.

3930445145088 is a gapful number since it is divisible by the number (38) 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 3930445145088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7503803842080).

3930445145088 is an abundant number, since it is smaller than the sum of its proper divisors (11077162539072).

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

3930445145088 is a wasteful number, since it uses less digits than its factorization.

3930445145088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26575 (or 26543 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 3930445145088 in words is "three trillion, nine hundred thirty billion, four hundred forty-five million, one hundred forty-five thousand, eighty-eight".