3675132000 has 576 divisors, whose sum is σ = 14309568000. Its totient is φ = 923788800.

The previous prime is 3675131953. The next prime is 3675132037. The reversal of 3675132000 is 2315763.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18467901 + ... + 18468099.

It is an arithmetic number, because the mean of its divisors is an integer number (24843000).

Almost surely, 2^3675132000 is an apocalyptic number.

3675132000 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 3675132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7154784000).

3675132000 is an abundant number, since it is smaller than the sum of its proper divisors (10634436000).

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

3675132000 is a wasteful number, since it uses less digits than its factorization.

3675132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 3675132000 is about 60622.8669727851. The cubic root of 3675132000 is about 1543.2074601344.

Adding to 3675132000 its reverse (2315763), we get a palindrome (3677447763).

The spelling of 3675132000 in words is "three billion, six hundred seventy-five million, one hundred thirty-two thousand".