3834008640 has 1120 divisors, whose sum is σ = 18163056384. Its totient is φ = 743178240.

The previous prime is 3834008617. The next prime is 3834008653. The reversal of 3834008640 is 468004383.

3834008640 is a `hidden beast` number, since 3 + 8 + 3 + 4 + 0 + 0 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 = 3834008595 and 3834008604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 33929224 + ... + 33929336.

Almost surely, 2^3834008640 is an apocalyptic number.

3834008640 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 3834008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9081528192).

3834008640 is an abundant number, since it is smaller than the sum of its proper divisors (14329047744).

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

3834008640 is a wasteful number, since it uses less digits than its factorization.

3834008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3834008640 is about 61919.3720898395. The cubic root of 3834008640 is about 1565.1322095673.

The spelling of 3834008640 in words is "three billion, eight hundred thirty-four million, eight thousand, six hundred forty".