3854369376 has 288 divisors, whose sum is σ = 13296890880. Its totient is φ = 1043020800.

The previous prime is 3854369359. The next prime is 3854369401. The reversal of 3854369376 is 6739634583.

3854369376 is a `hidden beast` number, since 3 + 8 + 543 + 6 + 93 + 7 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1275195 + ... + 1278213.

It is an arithmetic number, because the mean of its divisors is an integer number (46169760).

Almost surely, 2^3854369376 is an apocalyptic number.

3854369376 is a gapful number since it is divisible by the number (36) 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 3854369376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6648445440).

3854369376 is an abundant number, since it is smaller than the sum of its proper divisors (9442521504).

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

3854369376 is a wasteful number, since it uses less digits than its factorization.

3854369376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3079 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The square root of 3854369376 is about 62083.5676809895. The cubic root of 3854369376 is about 1567.8978961350.

The spelling of 3854369376 in words is "three billion, eight hundred fifty-four million, three hundred sixty-nine thousand, three hundred seventy-six".