3612639330144 has 384 divisors, whose sum is σ = 11404170247680. Its totient is φ = 1106035402752.

The previous prime is 3612639330119. The next prime is 3612639330169. The reversal of 3612639330144 is 4410339362163.

3612639330144 is a `hidden beast` number, since 3 + 6 + 1 + 2 + 639 + 3 + 3 + 0 + 1 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3612639330119) and next prime (3612639330169).

It is a self number, because there is not a number n which added to its sum of digits gives 3612639330144.

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 63 ways as a sum of consecutive naturals, for example, 3106310107 + ... + 3106311269.

It is an arithmetic number, because the mean of its divisors is an integer number (29698360020).

Almost surely, 2^{3612639330144} 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 3612639330144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702085123840).

3612639330144 is an abundant number, since it is smaller than the sum of its proper divisors (7791530917536).

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

3612639330144 is a wasteful number, since it uses less digits than its factorization.

3612639330144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 3612639330144 in words is "three trillion, six hundred twelve billion, six hundred thirty-nine million, three hundred thirty thousand, one hundred forty-four".