3914090208 has 288 divisors, whose sum is σ = 13513651200. Its totient is φ = 1098655488.

The previous prime is 3914090203. The next prime is 3914090221. The reversal of 3914090208 is 8020904193.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3914090208² = 30640204312722966528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3914090203) 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, 2497041 + ... + 2498607.

It is an arithmetic number, because the mean of its divisors is an integer number (46922400).

Almost surely, 2^3914090208 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 3914090208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6756825600).

3914090208 is an abundant number, since it is smaller than the sum of its proper divisors (9599560992).

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

3914090208 is a wasteful number, since it uses less digits than its factorization.

3914090208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3914090208 is about 62562.6902234870. The cubic root of 3914090208 is about 1575.9542661538.

The spelling of 3914090208 in words is "three billion, nine hundred fourteen million, ninety thousand, two hundred eight".