3164036445600 has 576 divisors, whose sum is σ = 10583322624000. Its totient is φ = 820844236800.

The previous prime is 3164036445533. The next prime is 3164036445637. The reversal of 3164036445600 is 65446304613.

It is a super-2 number, since 2×3164036445600² (a number of 26 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 6340754151 + ... + 6340754649.

It is an arithmetic number, because the mean of its divisors is an integer number (18373824000).

Almost surely, 2^{3164036445600} is an apocalyptic number.

3164036445600 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 3164036445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291661312000).

3164036445600 is an abundant number, since it is smaller than the sum of its proper divisors (7419286178400).

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

3164036445600 is a wasteful number, since it uses less digits than its factorization.

3164036445600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

It can be divided in two parts, 316403 and 6445600, that added together give a triangular number (6762003 = T₃₆₇₇).

The spelling of 3164036445600 in words is "three trillion, one hundred sixty-four billion, thirty-six million, four hundred forty-five thousand, six hundred".