3914820 has 144 divisors (see below), whose sum is σ = 14676480. Its totient is φ = 822528.

The previous prime is 3914819. The next prime is 3914821. The reversal of 3914820 is 284193.

It is an interprime number because it is at equal distance from previous prime (3914819) and next prime (3914821).

It is not an unprimeable number, because it can be changed into a prime (3914821) 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, 16261 + ... + 16499.

It is an arithmetic number, because the mean of its divisors is an integer number (101920).

Almost surely, 2^3914820 is an apocalyptic number.

3914820 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 3914820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7338240).

3914820 is an abundant number, since it is smaller than the sum of its proper divisors (10761660).

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

3914820 is a wasteful number, since it uses less digits than its factorization.

3914820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 269 counting only the distinct ones).

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

The square root of 3914820 is about 1978.5904073355. The cubic root of 3914820 is about 157.6052206951.

The spelling of 3914820 in words is "three million, nine hundred fourteen thousand, eight hundred twenty".