3667304160 has 240 divisors, whose sum is σ = 13938746976. Its totient is φ = 902679552.

The previous prime is 3667304143. The next prime is 3667304189. The reversal of 3667304160 is 614037663.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 157597 + ... + 179363.

Almost surely, 2^3667304160 is an apocalyptic number.

3667304160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3667304160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6969373488).

3667304160 is an abundant number, since it is smaller than the sum of its proper divisors (10271442816).

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

3667304160 is a wasteful number, since it uses less digits than its factorization.

3667304160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21807 (or 21790 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3667304160 is about 60558.2707811245. The cubic root of 3667304160 is about 1542.1110307793. Note that the first 3 decimals are identical.

The spelling of 3667304160 in words is "three billion, six hundred sixty-seven million, three hundred four thousand, one hundred sixty".