3155845641300 has 1728 divisors, whose sum is σ = 12539725406208. Its totient is φ = 679311360000.

The previous prime is 3155845641293. The next prime is 3155845641301. The reversal of 3155845641300 is 31465485513.

3155845641300 is a `hidden beast` number, since 3 + 1 + 5 + 5 + 84 + 564 + 1 + 3 + 0 + 0 = 666.

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 (3155845641301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6057285040 + ... + 6057285560.

It is an arithmetic number, because the mean of its divisors is an integer number (7256785536).

Almost surely, 2^{3155845641300} is an apocalyptic number.

3155845641300 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 3155845641300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6269862703104).

3155845641300 is an abundant number, since it is smaller than the sum of its proper divisors (9383879764908).

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

3155845641300 is a wasteful number, since it uses less digits than its factorization.

3155845641300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 3155845641300 in words is "three trillion, one hundred fifty-five billion, eight hundred forty-five million, six hundred forty-one thousand, three hundred".