3638262096 has 240 divisors, whose sum is σ = 12397234304. Its totient is φ = 1011128832.

The previous prime is 3638262071. The next prime is 3638262109. The reversal of 3638262096 is 6902628363.

3638262096 is a `hidden beast` number, since 3 + 638 + 2 + 6 + 2 + 0 + 9 + 6 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1005186 + ... + 1008798.

Almost surely, 2^3638262096 is an apocalyptic number.

3638262096 is a gapful number since it is divisible by the number (36) 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 3638262096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6198617152).

3638262096 is an abundant number, since it is smaller than the sum of its proper divisors (8758972208).

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

3638262096 is a wasteful number, since it uses less digits than its factorization.

3638262096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3662 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3638262096 is about 60318.0080572958. The cubic root of 3638262096 is about 1538.0294828355.

The spelling of 3638262096 in words is "three billion, six hundred thirty-eight million, two hundred sixty-two thousand, ninety-six".