3930505168320 has 336 divisors, whose sum is σ = 13611882465792. Its totient is φ = 1040966277120.

The previous prime is 3930505168313. The next prime is 3930505168321. The reversal of 3930505168320 is 238615050393.

It is a happy number.

3930505168320 is a `hidden beast` number, since 3 + 9 + 3 + 0 + 50 + 516 + 83 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3930505168321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1084874029 + ... + 1084877651.

Almost surely, 2^{3930505168320} is an apocalyptic number.

3930505168320 is a gapful number since it is divisible by the number (30) 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 3930505168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6805941232896).

3930505168320 is an abundant number, since it is smaller than the sum of its proper divisors (9681377297472).

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

3930505168320 is a wasteful number, since it uses less digits than its factorization.

3930505168320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6120 (or 6107 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 3930505168320 in words is "three trillion, nine hundred thirty billion, five hundred five million, one hundred sixty-eight thousand, three hundred twenty".