395661100 has 36 divisors (see below), whose sum is σ = 859710600. Its totient is φ = 158056960.

The previous prime is 395661041. The next prime is 395661107. The reversal of 395661100 is 1166593.

It is not an unprimeable number, because it can be changed into a prime (395661107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90771 + ... + 95029.

It is an arithmetic number, because the mean of its divisors is an integer number (23880850).

Almost surely, 2^395661100 is an apocalyptic number.

It is an amenable number.

395661100 is an abundant number, since it is smaller than the sum of its proper divisors (464049500).

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

395661100 is a wasteful number, since it uses less digits than its factorization.

395661100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5202 (or 5195 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 395661100 is about 19891.2317366220. The cubic root of 395661100 is about 734.1325011311.

It can be divided in two parts, 3956 and 61100, that added together give a palindrome (65056).

The spelling of 395661100 in words is "three hundred ninety-five million, six hundred sixty-one thousand, one hundred".