3608662523904 has 675 divisors, whose sum is σ = 11571879985743. Its totient is φ = 1120457981952.

The previous prime is 3608662523881. The next prime is 3608662523927. The reversal of 3608662523904 is 4093252668063.

It is a happy number.

The square root of 3608662523904 is 1899648.

It is a perfect power (a square), and thus also a powerful number.

3608662523904 is a `hidden beast` number, since 3 + 6 + 0 + 8 + 6 + 625 + 2 + 3 + 9 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3608662523881) and next prime (3608662523927).

It can be written as a sum of positive squares in 4 ways, for example, as 211276283904 + 3397386240000 = 459648^2 + 1843200^2 .

It is a super-2 number, since 2×3608662523904² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 37202706384 + ... + 37202706480.

Almost surely, 2^{3608662523904} is an apocalyptic number.

3608662523904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3608662523904 is the 1899648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3608662523904

3608662523904 is an abundant number, since it is smaller than the sum of its proper divisors (7963217461839).

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

3608662523904 is an frugal number, since it uses more digits than its factorization.

3608662523904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 3608662523904 in words is "three trillion, six hundred eight billion, six hundred sixty-two million, five hundred twenty-three thousand, nine hundred four".