3661460100 has 81 divisors (see below), whose sum is σ = 11482336047. Its totient is φ = 975905280.

The previous prime is 3661460083. The next prime is 3661460123. The reversal of 3661460100 is 10641663.

The square root of 3661460100 is 60510.

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

3661460100 is a `hidden beast` number, since 36 + 614 + 6 + 0 + 10 + 0 = 666.

3661460100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 206841924 + 3454618176 = 14382^2 + 58776^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1814292 + ... + 1816308.

Almost surely, 2^3661460100 is an apocalyptic number.

3661460100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3661460100 is the 60510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3661460100

3661460100 is an abundant number, since it is smaller than the sum of its proper divisors (7820875947).

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

3661460100 is a wasteful number, since it uses less digits than its factorization.

3661460100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4054 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The cubic root of 3661460100 is about 1541.2914477480.

It can be divided in two parts, 3661 and 460100, that added together give a square (463761 = 681²).

The spelling of 3661460100 in words is "three billion, six hundred sixty-one million, four hundred sixty thousand, one hundred".