3667375648400 has 30 divisors (see below), whose sum is σ = 8810869996242. Its totient is φ = 1466950259200.

The previous prime is 3667375648399. The next prime is 3667375648439. The reversal of 3667375648400 is 48465737663.

It can be written as a sum of positive squares in 3 ways, for example, as 55718658304 + 3611656990096 = 236048^2 + 1900436^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3667375648400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4584219161 + ... + 4584219960.

Almost surely, 2^{3667375648400} is an apocalyptic number.

It is an amenable number.

3667375648400 is an abundant number, since it is smaller than the sum of its proper divisors (5143494347842).

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

3667375648400 is a wasteful number, since it uses less digits than its factorization.

3667375648400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9168439139 (or 9168439128 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 59.

The spelling of 3667375648400 in words is "three trillion, six hundred sixty-seven billion, three hundred seventy-five million, six hundred forty-eight thousand, four hundred".