3914820000 has 720 divisors, whose sum is σ = 17193496320. Its totient is φ = 822528000.

The previous prime is 3914819999. The next prime is 3914820001. The reversal of 3914820000 is 284193.

3914820000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3914819999) and next prime (3914820001).

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (3914820001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16379881 + ... + 16380119.

It is an arithmetic number, because the mean of its divisors is an integer number (23879856).

Almost surely, 2^3914820000 is an apocalyptic number.

3914820000 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 3914820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8596748160).

3914820000 is an abundant number, since it is smaller than the sum of its proper divisors (13278676320).

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

3914820000 is a wasteful number, since it uses less digits than its factorization.

3914820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3914820000 is about 62568.5224374046. The cubic root of 3914820000 is about 1576.0522069507.

The spelling of 3914820000 in words is "three billion, nine hundred fourteen million, eight hundred twenty thousand".