3914205120 has 896 divisors, whose sum is σ = 17275576320. Its totient is φ = 824131584.

The previous prime is 3914205109. The next prime is 3914205121. The reversal of 3914205120 is 215024193.

3914205120 is a `hidden beast` number, since 3 + 9 + 142 + 0 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3914205121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83280937 + ... + 83280983.

Almost surely, 2^3914205120 is an apocalyptic number.

3914205120 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 3914205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8637788160).

3914205120 is an abundant number, since it is smaller than the sum of its proper divisors (13361371200).

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

3914205120 is an equidigital number, since it uses as much as digits as its factorization.

3914205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 3914205120 is about 62563.6085915766. The cubic root of 3914205120 is about 1575.9696885785.

The spelling of 3914205120 in words is "three billion, nine hundred fourteen million, two hundred five thousand, one hundred twenty".