3561628400 has 60 divisors (see below), whose sum is σ = 9334715784. Its totient is φ = 1295136000.

The previous prime is 3561628351. The next prime is 3561628439. The reversal of 3561628400 is 48261653.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400331 + ... + 409130.

Almost surely, 2^3561628400 is an apocalyptic number.

It is an amenable number.

3561628400 is an abundant number, since it is smaller than the sum of its proper divisors (5773087384).

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

3561628400 is a wasteful number, since it uses less digits than its factorization.

3561628400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809490 (or 809479 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 3561628400 is about 59679.3800235894. The cubic root of 3561628400 is about 1527.1541214241.

The spelling of 3561628400 in words is "three billion, five hundred sixty-one million, six hundred twenty-eight thousand, four hundred".