3649677954048 has 792 divisors, whose sum is σ = 13139022435552. Its totient is φ = 970367827968.

The previous prime is 3649677954031. The next prime is 3649677954061. The reversal of 3649677954048 is 8404597769463.

It is a happy number.

3649677954048 is a `hidden beast` number, since 3 + 6 + 4 + 9 + 6 + 7 + 79 + 540 + 4 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 384293236 + ... + 384302732.

Almost surely, 2^{3649677954048} 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 3649677954048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6569511217776).

3649677954048 is an abundant number, since it is smaller than the sum of its proper divisors (9489344481504).

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

3649677954048 is a wasteful number, since it uses less digits than its factorization.

3649677954048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9597 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 3649677954048 in words is "three trillion, six hundred forty-nine billion, six hundred seventy-seven million, nine hundred fifty-four thousand, forty-eight".