3879040000 has 440 divisors, whose sum is σ = 11510690400. Its totient is φ = 1290240000.

The previous prime is 3879039979. The next prime is 3879040001. The reversal of 3879040000 is 409783.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3879040001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 133759986 + ... + 133760014.

It is an arithmetic number, because the mean of its divisors is an integer number (26160660).

Almost surely, 2^3879040000 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 3879040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5755345200).

3879040000 is an abundant number, since it is smaller than the sum of its proper divisors (7631650400).

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

3879040000 is a wasteful number, since it uses less digits than its factorization.

3879040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 3879040000 is about 62281.9395972861. The cubic root of 3879040000 is about 1571.2359937167.

Adding to 3879040000 its reverse (409783), we get a palindrome (3879449783).

The spelling of 3879040000 in words is "three billion, eight hundred seventy-nine million, forty thousand".