3649481975744 has 336 divisors, whose sum is σ = 8326655330400. Its totient is φ = 1586727014400.

The previous prime is 3649481975701. The next prime is 3649481975849. The reversal of 3649481975744 is 4475791849463.

It is a congruent number.

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, 8922938612 + ... + 8922939020.

Almost surely, 2^{3649481975744} 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 3649481975744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163327665200).

3649481975744 is an abundant number, since it is smaller than the sum of its proper divisors (4677173354656).

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

3649481975744 is a wasteful number, since it uses less digits than its factorization.

3649481975744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 562 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 71.

The spelling of 3649481975744 in words is "three trillion, six hundred forty-nine billion, four hundred eighty-one million, nine hundred seventy-five thousand, seven hundred forty-four".