3669456400 has 30 divisors (see below), whose sum is σ = 8815869962. Its totient is φ = 1467782400.

The previous prime is 3669456367. The next prime is 3669456419. The reversal of 3669456400 is 46549663.

It can be written as a sum of positive squares in 3 ways, for example, as 4624 + 3669451776 = 68^2 + 60576^2 .

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 5 ways as a sum of consecutive naturals, for example, 4586421 + ... + 4587220.

Almost surely, 2^3669456400 is an apocalyptic number.

It is an amenable number.

3669456400 is an abundant number, since it is smaller than the sum of its proper divisors (5146413562).

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

3669456400 is a wasteful number, since it uses less digits than its factorization.

3669456400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9173659 (or 9173648 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 43.

The square root of 3669456400 is about 60576.0381669188. The cubic root of 3669456400 is about 1542.4126459746.

The spelling of 3669456400 in words is "three billion, six hundred sixty-nine million, four hundred fifty-six thousand, four hundred".