3661948990240 has 24 divisors (see below), whose sum is σ = 8651354489820. Its totient is φ = 1464779596032.

The previous prime is 3661948990187. The next prime is 3661948990291. The reversal of 3661948990240 is 420998491663.

It can be written as a sum of positive squares in 2 ways, for example, as 3351374616976 + 310574373264 = 1830676^2 + 557292^2 .

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 3 ways as a sum of consecutive naturals, for example, 11443590435 + ... + 11443590754.

Almost surely, 2^{3661948990240} is an apocalyptic number.

It is an amenable number.

3661948990240 is an abundant number, since it is smaller than the sum of its proper divisors (4989405499580).

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

3661948990240 is a wasteful number, since it uses less digits than its factorization.

3661948990240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22887181204 (or 22887181196 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 61.

The spelling of 3661948990240 in words is "three trillion, six hundred sixty-one billion, nine hundred forty-eight million, nine hundred ninety thousand, two hundred forty".