3181384854900 has 1152 divisors, whose sum is σ = 12428324536320. Its totient is φ = 682795008000.

The previous prime is 3181384854887. The next prime is 3181384854929. The reversal of 3181384854900 is 94584831813.

3181384854900 is a `hidden beast` number, since 3 + 1 + 8 + 13 + 84 + 8 + 549 + 0 + 0 = 666.

3181384854900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4963158580 + ... + 4963159220.

It is an arithmetic number, because the mean of its divisors is an integer number (10788476160).

Almost surely, 2^{3181384854900} is an apocalyptic number.

3181384854900 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 3181384854900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6214162268160).

3181384854900 is an abundant number, since it is smaller than the sum of its proper divisors (9246939681420).

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

3181384854900 is a wasteful number, since it uses less digits than its factorization.

3181384854900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 3181384854900 in words is "three trillion, one hundred eighty-one billion, three hundred eighty-four million, eight hundred fifty-four thousand, nine hundred".