3914968464 has 200 divisors, whose sum is σ = 12488129280. Its totient is φ = 1174176000.

The previous prime is 3914968459. The next prime is 3914968493. The reversal of 3914968464 is 4648694193.

It is a happy number.

3914968464 is a `hidden beast` number, since 3 + 91 + 4 + 96 + 8 + 464 = 666.

3914968464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3914968464³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3914968464.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1438497 + ... + 1441215.

Almost surely, 2^3914968464 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 3914968464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6244064640).

3914968464 is an abundant number, since it is smaller than the sum of its proper divisors (8573160816).

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

3914968464 is a wasteful number, since it uses less digits than its factorization.

3914968464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851 (or 2836 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 3914968464 is about 62569.7088374239. The cubic root of 3914968464 is about 1576.0721298809.

The spelling of 3914968464 in words is "three billion, nine hundred fourteen million, nine hundred sixty-eight thousand, four hundred sixty-four".