3689183232000 has 1680 divisors, whose sum is σ = 15822484921152. Its totient is φ = 840853094400.

The previous prime is 3689183231977. The next prime is 3689183232073. The reversal of 3689183232000 is 2323819863.

3689183232000 is a `hidden beast` number, since 36 + 8 + 91 + 8 + 323 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×3689183232000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 111 ways as a sum of consecutive naturals, for example, 10450943824 + ... + 10450944176.

Almost surely, 2^{3689183232000} is an apocalyptic number.

3689183232000 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 3689183232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7911242460576).

3689183232000 is an abundant number, since it is smaller than the sum of its proper divisors (12133301689152).

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

3689183232000 is an frugal number, since it uses more digits than its factorization.

3689183232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 3689183232000 in words is "three trillion, six hundred eighty-nine billion, one hundred eighty-three million, two hundred thirty-two thousand".