3607373113344 has 3456 divisors, whose sum is σ = 15856146109440. Its totient is φ = 772905369600.

The previous prime is 3607373113343. The next prime is 3607373113373. The reversal of 3607373113344 is 4433113737063.

3607373113344 is a `hidden beast` number, since 3 + 60 + 73 + 73 + 113 + 344 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3607373113344.

It is not an unprimeable number, because it can be changed into a prime (3607373113343) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 68063643622 + ... + 68063643674.

It is an arithmetic number, because the mean of its divisors is an integer number (4588005240).

Almost surely, 2^{3607373113344} is an apocalyptic number.

3607373113344 is a gapful number since it is divisible by the number (34) 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 3607373113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7928073054720).

3607373113344 is an abundant number, since it is smaller than the sum of its proper divisors (12248772996096).

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

3607373113344 is a wasteful number, since it uses less digits than its factorization.

3607373113344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 45.

The spelling of 3607373113344 in words is "three trillion, six hundred seven billion, three hundred seventy-three million, one hundred thirteen thousand, three hundred forty-four".