3879276541000 has 384 divisors, whose sum is σ = 11021497774560. Its totient is φ = 1273079808000.

The previous prime is 3879276540991. The next prime is 3879276541039. The reversal of 3879276541000 is 1456729783.

3879276541000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 100366041636 + 3778910499364 = 316806^2 + 1943942^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106458784 + ... + 106495216.

It is a 1-persistent number, because it is pandigital, but 2⋅3879276541000 = 7758553082000 is not.

Almost surely, 2^{3879276541000} 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 3879276541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5510748887280).

3879276541000 is an abundant number, since it is smaller than the sum of its proper divisors (7142221233560).

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

3879276541000 is a wasteful number, since it uses less digits than its factorization.

3879276541000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36562 (or 36541 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 3879276541000 in words is "three trillion, eight hundred seventy-nine billion, two hundred seventy-six million, five hundred forty-one thousand".