3649174656 has 128 divisors (see below), whose sum is σ = 10396900800. Its totient is φ = 1130508288.

The previous prime is 3649174651. The next prime is 3649174657. The reversal of 3649174656 is 6564719463.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 3649174599 and 3649174608.

It is not an unprimeable number, because it can be changed into a prime (3649174651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381970 + ... + 391406.

Almost surely, 2^3649174656 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 3649174656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198450400).

3649174656 is an abundant number, since it is smaller than the sum of its proper divisors (6747726144).

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

3649174656 is a wasteful number, since it uses less digits than its factorization.

3649174656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9526 (or 9514 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 51.

The square root of 3649174656 is about 60408.3988862476. The cubic root of 3649174656 is about 1539.5656637612.

The spelling of 3649174656 in words is "three billion, six hundred forty-nine million, one hundred seventy-four thousand, six hundred fifty-six".