3667433440 has 48 divisors (see below), whose sum is σ = 9451980720. Its totient is φ = 1333611520.

The previous prime is 3667433437. The next prime is 3667433459. The reversal of 3667433440 is 443347663.

3667433440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3667433393 and 3667433402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1040125 + ... + 1043644.

It is an arithmetic number, because the mean of its divisors is an integer number (196916265).

Almost surely, 2^3667433440 is an apocalyptic number.

It is an amenable number.

3667433440 is an abundant number, since it is smaller than the sum of its proper divisors (5784547280).

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

3667433440 is a wasteful number, since it uses less digits than its factorization.

3667433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083795 (or 2083787 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 40.

The square root of 3667433440 is about 60559.3381733982. The cubic root of 3667433440 is about 1542.1291514263.

It can be divided in two parts, 36 and 67433440, that added together give a palindrome (67433476).

The spelling of 3667433440 in words is "three billion, six hundred sixty-seven million, four hundred thirty-three thousand, four hundred forty".