3667328448 has 112 divisors (see below), whose sum is σ = 11241511680. Its totient is φ = 1033426944.

The previous prime is 3667328443. The next prime is 3667328501. The reversal of 3667328448 is 8448237663.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3667328448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3667328443) 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, 79423 + ... + 116801.

It is an arithmetic number, because the mean of its divisors is an integer number (100370640).

Almost surely, 2^3667328448 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 3667328448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5620755840).

3667328448 is an abundant number, since it is smaller than the sum of its proper divisors (7574183232).

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

3667328448 is a wasteful number, since it uses less digits than its factorization.

3667328448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37474 (or 37464 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 51.

The square root of 3667328448 is about 60558.4713149201. The cubic root of 3667328448 is about 1542.1144351611.

The spelling of 3667328448 in words is "three billion, six hundred sixty-seven million, three hundred twenty-eight thousand, four hundred forty-eight".