3612661600 has 72 divisors (see below), whose sum is σ = 8830872288. Its totient is φ = 1443187200.

The previous prime is 3612661583. The next prime is 3612661639. The reversal of 3612661600 is 61662163.

It is a super-2 number, since 2×3612661600² = 26102647672229120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 726322 + ... + 731278.

It is an arithmetic number, because the mean of its divisors is an integer number (122651004).

Almost surely, 2^3612661600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3612661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415436144).

3612661600 is an abundant number, since it is smaller than the sum of its proper divisors (5218210688).

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

3612661600 is a wasteful number, since it uses less digits than its factorization.

3612661600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888 (or 5875 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 3612661600 is about 60105.4207205972. The cubic root of 3612661600 is about 1534.4135593281.

The spelling of 3612661600 in words is "three billion, six hundred twelve million, six hundred sixty-one thousand, six hundred".