3849378624 has 672 divisors, whose sum is σ = 14769291264. Its totient is φ = 930631680.

The previous prime is 3849378581. The next prime is 3849378641. The reversal of 3849378624 is 4268739483.

3849378624 is a `hidden beast` number, since 3 + 8 + 4 + 9 + 3 + 7 + 8 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37372557 + ... + 37372659.

It is an arithmetic number, because the mean of its divisors is an integer number (21978112).

Almost surely, 2^3849378624 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 3849378624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384645632).

3849378624 is an abundant number, since it is smaller than the sum of its proper divisors (10919912640).

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

3849378624 is a wasteful number, since it uses less digits than its factorization.

3849378624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 182 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 3849378624 is about 62043.3608374015. The cubic root of 3849378624 is about 1567.2208835836.

The spelling of 3849378624 in words is "three billion, eight hundred forty-nine million, three hundred seventy-eight thousand, six hundred twenty-four".