3840513327000 has 1152 divisors, whose sum is σ = 15423188227200. Its totient is φ = 859251456000.

The previous prime is 3840513326983. The next prime is 3840513327023. The reversal of 3840513327000 is 7233150483.

3840513327000 is a `hidden beast` number, since 3 + 8 + 40 + 513 + 32 + 70 + 0 + 0 = 666.

It is a super-2 number, since 2×3840513327000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5416802646 + ... + 5416803354.

It is an arithmetic number, because the mean of its divisors is an integer number (13388184225).

Almost surely, 2^{3840513327000} is an apocalyptic number.

3840513327000 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 3840513327000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711594113600).

3840513327000 is an abundant number, since it is smaller than the sum of its proper divisors (11582674900200).

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

3840513327000 is a wasteful number, since it uses less digits than its factorization.

3840513327000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 3840513327000 its reverse (7233150483), we get a palindrome (3847746477483).

The spelling of 3840513327000 in words is "three trillion, eight hundred forty billion, five hundred thirteen million, three hundred twenty-seven thousand".