3649806639648 has 288 divisors, whose sum is σ = 11253330466560. Its totient is φ = 1122053137920.

The previous prime is 3649806639481. The next prime is 3649806639653. The reversal of 3649806639648 is 8469366089463.

3649806639648 is a `hidden beast` number, since 3 + 6 + 498 + 0 + 6 + 6 + 3 + 96 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 1183847515 + ... + 1183850597.

It is an arithmetic number, because the mean of its divisors is an integer number (39074064120).

Almost surely, 2^{3649806639648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3649806639648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5626665233280).

3649806639648 is an abundant number, since it is smaller than the sum of its proper divisors (7603523826912).

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

3649806639648 is a wasteful number, since it uses less digits than its factorization.

3649806639648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5009 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 967458816, while the sum is 72.

The spelling of 3649806639648 in words is "three trillion, six hundred forty-nine billion, eight hundred six million, six hundred thirty-nine thousand, six hundred forty-eight".