3667441574742 has 96 divisors (see below), whose sum is σ = 8106964391904. Its totient is φ = 1105207234560.

The previous prime is 3667441574701. The next prime is 3667441574789. The reversal of 3667441574742 is 2474751447663.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98375418 + ... + 98412690.

It is an arithmetic number, because the mean of its divisors is an integer number (84447545749).

Almost surely, 2^{3667441574742} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3667441574742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053482195952).

3667441574742 is an abundant number, since it is smaller than the sum of its proper divisors (4439522817162).

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

3667441574742 is a wasteful number, since it uses less digits than its factorization.

3667441574742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38046 (or 38035 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 60.

The spelling of 3667441574742 in words is "three trillion, six hundred sixty-seven billion, four hundred forty-one million, five hundred seventy-four thousand, seven hundred forty-two".