3673586442240 has 2688 divisors, whose sum is σ = 16230022099200. Its totient is φ = 784796221440.

The previous prime is 3673586442223. The next prime is 3673586442263. The reversal of 3673586442240 is 422446853763.

3673586442240 is a `hidden beast` number, since 3 + 6 + 7 + 358 + 6 + 4 + 42 + 240 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41276252116 + ... + 41276252204.

It is an arithmetic number, because the mean of its divisors is an integer number (6037954650).

Almost surely, 2^{3673586442240} is an apocalyptic number.

3673586442240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3673586442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8115011049600).

3673586442240 is an abundant number, since it is smaller than the sum of its proper divisors (12556435656960).

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

3673586442240 is a wasteful number, since it uses less digits than its factorization.

3673586442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 3673586442240 in words is "three trillion, six hundred seventy-three billion, five hundred eighty-six million, four hundred forty-two thousand, two hundred forty".