3831740640 has 1008 divisors, whose sum is σ = 17630107488. Its totient is φ = 765904896.

The previous prime is 3831740597. The next prime is 3831740669. The reversal of 3831740640 is 460471383.

3831740640 is a `hidden beast` number, since 3 + 8 + 3 + 1 + 7 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a junction number, because it is equal to n+sod(n) for n = 3831740595 and 3831740604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 201670551 + ... + 201670569.

It is an arithmetic number, because the mean of its divisors is an integer number (17490186).

Almost surely, 2^3831740640 is an apocalyptic number.

3831740640 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 3831740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8815053744).

3831740640 is an abundant number, since it is smaller than the sum of its proper divisors (13798366848).

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

3831740640 is a wasteful number, since it uses less digits than its factorization.

3831740640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3831740640 is about 61901.0552414093. The cubic root of 3831740640 is about 1564.8235317700.

The spelling of 3831740640 in words is "three billion, eight hundred thirty-one million, seven hundred forty thousand, six hundred forty".