3914784000 has 576 divisors, whose sum is σ = 15152417280. Its totient is φ = 993484800.

The previous prime is 3914783981. The next prime is 3914784011. The reversal of 3914784000 is 4874193.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19871902 + ... + 19872098.

It is an arithmetic number, because the mean of its divisors is an integer number (26306280).

Almost surely, 2^3914784000 is an apocalyptic number.

3914784000 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 3914784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7576208640).

3914784000 is an abundant number, since it is smaller than the sum of its proper divisors (11237633280).

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

3914784000 is a wasteful number, since it uses less digits than its factorization.

3914784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3914784000 is about 62568.2347521488. The cubic root of 3914784000 is about 1576.0473759024.

The spelling of 3914784000 in words is "three billion, nine hundred fourteen million, seven hundred eighty-four thousand".