3905996160 has 768 divisors, whose sum is σ = 15471751680. Its totient is φ = 832634880.

The previous prime is 3905996123. The next prime is 3905996161. The reversal of 3905996160 is 616995093.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3905996161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90837099 + ... + 90837141.

It is an arithmetic number, because the mean of its divisors is an integer number (20145510).

Almost surely, 2^3905996160 is an apocalyptic number.

3905996160 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 3905996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7735875840).

3905996160 is an abundant number, since it is smaller than the sum of its proper divisors (11565755520).

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

3905996160 is a wasteful number, since it uses less digits than its factorization.

3905996160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 48.

The square root of 3905996160 is about 62497.9692470083. The cubic root of 3905996160 is about 1574.8671976713.

The spelling of 3905996160 in words is "three billion, nine hundred five million, nine hundred ninety-six thousand, one hundred sixty".