3873201640 has 256 divisors, whose sum is σ = 11176704000. Its totient is φ = 1173242880.

The previous prime is 3873201559. The next prime is 3873201667. The reversal of 3873201640 is 461023783.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3873201596 and 3873201605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27864691 + ... + 27864829.

It is an arithmetic number, because the mean of its divisors is an integer number (43659000).

Almost surely, 2^3873201640 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 3873201640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588352000).

3873201640 is an abundant number, since it is smaller than the sum of its proper divisors (7303502360).

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

3873201640 is a wasteful number, since it uses less digits than its factorization.

3873201640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 3873201640 is about 62235.0515385020. The cubic root of 3873201640 is about 1570.4473065194.

The spelling of 3873201640 in words is "three billion, eight hundred seventy-three million, two hundred one thousand, six hundred forty".