3653490536640 has 1008 divisors, whose sum is σ = 15649093684224. Its totient is φ = 808119244800.

The previous prime is 3653490536639. The next prime is 3653490536699. The reversal of 3653490536640 is 466350943563.

3653490536640 is a `hidden beast` number, since 3 + 6 + 5 + 3 + 49 + 0 + 536 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 118101975 + ... + 118132905.

It is an arithmetic number, because the mean of its divisors is an integer number (15524894528).

Almost surely, 2^{3653490536640} is an apocalyptic number.

3653490536640 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 3653490536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7824546842112).

3653490536640 is an abundant number, since it is smaller than the sum of its proper divisors (11995603147584).

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

3653490536640 is a wasteful number, since it uses less digits than its factorization.

3653490536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31008 (or 30979 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 54.

The spelling of 3653490536640 in words is "three trillion, six hundred fifty-three billion, four hundred ninety million, five hundred thirty-six thousand, six hundred forty".