3662138592 has 144 divisors (see below), whose sum is σ = 11963663712. Its totient is φ = 1040901120.

The previous prime is 3662138587. The next prime is 3662138611. The reversal of 3662138592 is 2958312663.

3662138592 is a `hidden beast` number, since 3 + 6 + 6 + 21 + 38 + 592 = 666.

3662138592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3662138592² = 26822518134031484928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392542 + ... + 401762.

It is an arithmetic number, because the mean of its divisors is an integer number (83080998).

Almost surely, 2^3662138592 is an apocalyptic number.

3662138592 is a gapful number since it is divisible by the number (32) 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 3662138592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5981831856).

3662138592 is an abundant number, since it is smaller than the sum of its proper divisors (8301525120).

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

3662138592 is a wasteful number, since it uses less digits than its factorization.

3662138592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9441 (or 9430 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 3662138592 is about 60515.6061855122. The cubic root of 3662138592 is about 1541.3866455926.

The spelling of 3662138592 in words is "three billion, six hundred sixty-two million, one hundred thirty-eight thousand, five hundred ninety-two".