3672040319 has 8 divisors (see below), whose sum is σ = 3762664080. Its totient is φ = 3581467200.

The previous prime is 3672040313. The next prime is 3672040327. The reversal of 3672040319 is 9130402763.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3672040319 - 2⁸ = 3672040063 is a prime.

It is a super-3 number, since 3×3672040319³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672040313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164192 + ... + 185210.

It is an arithmetic number, because the mean of its divisors is an integer number (470333010).

Almost surely, 2^3672040319 is an apocalyptic number.

3672040319 is a deficient number, since it is larger than the sum of its proper divisors (90623761).

3672040319 is a wasteful number, since it uses less digits than its factorization.

3672040319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25321.

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 3672040319 is about 60597.3623105825. The cubic root of 3672040319 is about 1542.7746009703.

The spelling of 3672040319 in words is "three billion, six hundred seventy-two million, forty thousand, three hundred nineteen".