3441564057600 has 1368 divisors, whose sum is σ = 13488604278240. Its totient is φ = 835757015040.

The previous prime is 3441564057593. The next prime is 3441564057643. The reversal of 3441564057600 is 67504651443.

3441564057600 is a `hidden beast` number, since 3 + 4 + 4 + 15 + 64 + 0 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1368).

It is a super-2 number, since 2×3441564057600² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41464627159 + ... + 41464627241.

Almost surely, 2^{3441564057600} is an apocalyptic number.

3441564057600 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 3441564057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6744302139120).

3441564057600 is an abundant number, since it is smaller than the sum of its proper divisors (10047040220640).

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

3441564057600 is an equidigital number, since it uses as much as digits as its factorization.

3441564057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 3441564057600 in words is "three trillion, four hundred forty-one billion, five hundred sixty-four million, fifty-seven thousand, six hundred".