3671273631744 has 520 divisors, whose sum is σ = 11187391385808. Its totient is φ = 1199383511040.

The previous prime is 3671273631733. The next prime is 3671273631761. The reversal of 3671273631744 is 4471363721763.

3671273631744 is a `hidden beast` number, since 367 + 1 + 273 + 6 + 3 + 1 + 7 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 7046590204 + ... + 7046590724.

Almost surely, 2^{3671273631744} 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 3671273631744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593695692904).

3671273631744 is an abundant number, since it is smaller than the sum of its proper divisors (7516117754064).

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

3671273631744 is an equidigital number, since it uses as much as digits as its factorization.

3671273631744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 910 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 54.

The spelling of 3671273631744 in words is "three trillion, six hundred seventy-one billion, two hundred seventy-three million, six hundred thirty-one thousand, seven hundred forty-four".