361746900 has 108 divisors (see below), whose sum is σ = 1144231452. Its totient is φ = 95585280.

The previous prime is 361746887. The next prime is 361746907. The reversal of 361746900 is 9647163.

361746900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 143712144 + 218034756 = 11988^2 + 14766^2 .

It is a super-2 number, since 2×361746900² = 261721639319220000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361746907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99922 + ... + 103478.

Almost surely, 2^361746900 is an apocalyptic number.

361746900 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 361746900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572115726).

361746900 is an abundant number, since it is smaller than the sum of its proper divisors (782484552).

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

361746900 is a wasteful number, since it uses less digits than its factorization.

361746900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3690 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 361746900 is about 19019.6451070991. The cubic root of 361746900 is about 712.5274596988.

The spelling of 361746900 in words is "three hundred sixty-one million, seven hundred forty-six thousand, nine hundred".