3664173240 has 512 divisors, whose sum is σ = 15695769600. Its totient is φ = 739031040.

The previous prime is 3664173221. The next prime is 3664173241. The reversal of 3664173240 is 423714663.

It is a happy number.

3664173240 is a `hidden beast` number, since 3 + 6 + 641 + 7 + 3 + 2 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3664173195 and 3664173204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3664173241) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2259630 + ... + 2261250.

It is an arithmetic number, because the mean of its divisors is an integer number (30655800).

Almost surely, 2^3664173240 is an apocalyptic number.

3664173240 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 3664173240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7847884800).

3664173240 is an abundant number, since it is smaller than the sum of its proper divisors (12031596360).

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

3664173240 is a wasteful number, since it uses less digits than its factorization.

3664173240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3664173240 is about 60532.4147874509. The cubic root of 3664173240 is about 1541.6720524704.

The spelling of 3664173240 in words is "three billion, six hundred sixty-four million, one hundred seventy-three thousand, two hundred forty".