3607945887744 has 900 divisors, whose sum is σ = 12130025691168. Its totient is φ = 1059648307200.

The previous prime is 3607945887701. The next prime is 3607945887809. The reversal of 3607945887744 is 4477885497063.

3607945887744 is a `hidden beast` number, since 3 + 60 + 7 + 9 + 458 + 8 + 77 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 59 ways as a sum of consecutive naturals, for example, 50816139229 + ... + 50816139299.

Almost surely, 2^{3607945887744} 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 3607945887744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065012845584).

3607945887744 is an abundant number, since it is smaller than the sum of its proper divisors (8522079803424).

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

3607945887744 is an frugal number, since it uses more digits than its factorization.

3607945887744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 72.

The spelling of 3607945887744 in words is "three trillion, six hundred seven billion, nine hundred forty-five million, eight hundred eighty-seven thousand, seven hundred forty-four".