3135943129680 has 120 divisors (see below), whose sum is σ = 10921599535392. Its totient is φ = 836251496064.

The previous prime is 3135943129667. The next prime is 3135943129721. The reversal of 3135943129680 is 869213495313.

3135943129680 is a `hidden beast` number, since 3 + 13 + 594 + 31 + 2 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80637534 + ... + 80676413.

Almost surely, 2^{3135943129680} is an apocalyptic number.

3135943129680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3135943129680 is an abundant number, since it is smaller than the sum of its proper divisors (7785656405712).

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

3135943129680 is a wasteful number, since it uses less digits than its factorization.

3135943129680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161313975 (or 161313957 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

It can be divided in two parts, 3135943 and 129680, that added together give a palindrome (3265623).

The spelling of 3135943129680 in words is "three trillion, one hundred thirty-five billion, nine hundred forty-three million, one hundred twenty-nine thousand, six hundred eighty".