3914954208 has 480 divisors, whose sum is σ = 13692859488. Its totient is φ = 1083801600.

The previous prime is 3914954203. The next prime is 3914954227. The reversal of 3914954208 is 8024594193.

3914954208 is a `hidden beast` number, since 391 + 4 + 9 + 54 + 208 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3914954203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19872766 + ... + 19872962.

Almost surely, 2^3914954208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3914954208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6846429744).

3914954208 is an abundant number, since it is smaller than the sum of its proper divisors (9777905280).

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

3914954208 is a wasteful number, since it uses less digits than its factorization.

3914954208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3914954208 is about 62569.5949163809. The cubic root of 3914954208 is about 1576.0702168377.

The spelling of 3914954208 in words is "three billion, nine hundred fourteen million, nine hundred fifty-four thousand, two hundred eight".