3575672100 has 1008 divisors, whose sum is σ = 15938563200. Its totient is φ = 685843200.

The previous prime is 3575672053. The next prime is 3575672141. The reversal of 3575672100 is 12765753.

3575672100 is a `hidden beast` number, since 3 + 575 + 6 + 72 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 275051694 + ... + 275051706.

Almost surely, 2^3575672100 is an apocalyptic number.

3575672100 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 3575672100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7969281600).

3575672100 is an abundant number, since it is smaller than the sum of its proper divisors (12362891100).

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

3575672100 is a wasteful number, since it uses less digits than its factorization.

3575672100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 3575672100 is about 59796.9238339231. The cubic root of 3575672100 is about 1529.1587070377.

The spelling of 3575672100 in words is "three billion, five hundred seventy-five million, six hundred seventy-two thousand, one hundred".