3836474748000 has 576 divisors, whose sum is σ = 13918503860352. Its totient is φ = 1000432742400.

The previous prime is 3836474747977. The next prime is 3836474748017. The reversal of 3836474748000 is 8474746383.

3836474748000 is a `hidden beast` number, since 3 + 83 + 6 + 47 + 47 + 480 + 0 + 0 = 666.

It is a congruent number.

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, 604832829 + ... + 604839171.

It is an arithmetic number, because the mean of its divisors is an integer number (24164069202).

Almost surely, 2^{3836474748000} is an apocalyptic number.

3836474748000 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 3836474748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6959251930176).

3836474748000 is an abundant number, since it is smaller than the sum of its proper divisors (10082029112352).

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

3836474748000 is a wasteful number, since it uses less digits than its factorization.

3836474748000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6744 (or 6723 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 3836474748000 in words is "three trillion, eight hundred thirty-six billion, four hundred seventy-four million, seven hundred forty-eight thousand".