3854174688 has 288 divisors, whose sum is σ = 13575744000. Its totient is φ = 1010009088.

The previous prime is 3854174683. The next prime is 3854174689. The reversal of 3854174688 is 8864714583.

3854174688 is a `hidden beast` number, since 38 + 541 + 7 + 4 + 68 + 8 = 666.

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3854174683) 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, 5215023 + ... + 5215761.

It is an arithmetic number, because the mean of its divisors is an integer number (47138000).

Almost surely, 2^3854174688 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 3854174688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6787872000).

3854174688 is an abundant number, since it is smaller than the sum of its proper divisors (9721569312).

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

3854174688 is a wasteful number, since it uses less digits than its factorization.

3854174688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 963 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 3854174688 is about 62081.9997100609. Note that the first 3 decimals coincide. The cubic root of 3854174688 is about 1567.8714970006.

The spelling of 3854174688 in words is "three billion, eight hundred fifty-four million, one hundred seventy-four thousand, six hundred eighty-eight".