3667431840 has 48 divisors (see below), whose sum is σ = 11552411808. Its totient is φ = 977981696.

The previous prime is 3667431829. The next prime is 3667431841. The reversal of 3667431840 is 481347663.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3667431792 and 3667431801.

It is not an unprimeable number, because it can be changed into a prime (3667431841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3819762 + ... + 3820721.

It is an arithmetic number, because the mean of its divisors is an integer number (240675246).

Almost surely, 2^3667431840 is an apocalyptic number.

3667431840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3667431840 is an abundant number, since it is smaller than the sum of its proper divisors (7884979968).

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

3667431840 is a wasteful number, since it uses less digits than its factorization.

3667431840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7640501 (or 7640493 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 3667431840 is about 60559.3249632127. The cubic root of 3667431840 is about 1542.1289271634.

The spelling of 3667431840 in words is "three billion, six hundred sixty-seven million, four hundred thirty-one thousand, eight hundred forty".