3086738134200 has 1440 divisors, whose sum is σ = 13261507459200. Its totient is φ = 661583946240.

The previous prime is 3086738134199. The next prime is 3086738134201. The reversal of 3086738134200 is 24318376803.

3086738134200 is a `hidden beast` number, since 3 + 0 + 8 + 67 + 381 + 3 + 4 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (3086738134199) and next prime (3086738134201).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3086738134201) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1553465607 + ... + 1553467593.

It is an arithmetic number, because the mean of its divisors is an integer number (9209380180).

Almost surely, 2^{3086738134200} is an apocalyptic number.

3086738134200 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 3086738134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6630753729600).

3086738134200 is an abundant number, since it is smaller than the sum of its proper divisors (10174769325000).

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

3086738134200 is a wasteful number, since it uses less digits than its factorization.

3086738134200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 3086738134200 in words is "three trillion, eighty-six billion, seven hundred thirty-eight million, one hundred thirty-four thousand, two hundred".