3634179648 has 112 divisors (see below), whose sum is σ = 10745663040. Its totient is φ = 1074380800.

The previous prime is 3634179623. The next prime is 3634179649. The reversal of 3634179648 is 8469714363.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3634179648.

It is not an unprimeable number, because it can be changed into a prime (3634179649) 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, 65608 + ... + 107576.

It is an arithmetic number, because the mean of its divisors is an integer number (95943420).

Almost surely, 2^3634179648 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 3634179648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5372831520).

3634179648 is an abundant number, since it is smaller than the sum of its proper divisors (7111483392).

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

3634179648 is a wasteful number, since it uses less digits than its factorization.

3634179648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42036 (or 42026 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The square root of 3634179648 is about 60284.1575208612. The cubic root of 3634179648 is about 1537.4539997077.

The spelling of 3634179648 in words is "three billion, six hundred thirty-four million, one hundred seventy-nine thousand, six hundred forty-eight".