3138489681600 has 336 divisors, whose sum is σ = 12673062149888. Its totient is φ = 662186741760.

The previous prime is 3138489681589. The next prime is 3138489681611. The reversal of 3138489681600 is 61869848313.

It is an interprime number because it is at equal distance from previous prime (3138489681589) and next prime (3138489681611).

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3155794 + ... + 4029393.

Almost surely, 2^{3138489681600} is an apocalyptic number.

3138489681600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3138489681600 is an abundant number, since it is smaller than the sum of its proper divisors (9534572468288).

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

3138489681600 is a wasteful number, since it uses less digits than its factorization.

3138489681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7185232 (or 7185217 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 3138489681600 in words is "three trillion, one hundred thirty-eight billion, four hundred eighty-nine million, six hundred eighty-one thousand, six hundred".