3000361001364 has 120 divisors (see below), whose sum is σ = 7995792772968. Its totient is φ = 980803676160.

The previous prime is 3000361001327. The next prime is 3000361001369. The reversal of 3000361001364 is 4631001630003.

3000361001364 is a `hidden beast` number, since 30 + 0 + 0 + 3 + 610 + 0 + 13 + 6 + 4 = 666.

3000361001364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 311062752900 + 2689298248464 = 557730^2 + 1639908^2 .

It is a super-2 number, since 2×3000361001364² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000361001369) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6435232 + ... + 6885704.

Almost surely, 2^{3000361001364} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000361001364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997896386484).

3000361001364 is an abundant number, since it is smaller than the sum of its proper divisors (4995431771604).

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

3000361001364 is a wasteful number, since it uses less digits than its factorization.

3000361001364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450887 (or 450876 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 3000361001364 its reverse (4631001630003), we get a palindrome (7631362631367).

The spelling of 3000361001364 in words is "three trillion, three hundred sixty-one million, one thousand, three hundred sixty-four".