3557944800 has 216 divisors, whose sum is σ = 12641284656. Its totient is φ = 941598720.

The previous prime is 3557944799. The next prime is 3557944801. The reversal of 3557944800 is 84497553.

3557944800 is a `hidden beast` number, since 3 + 557 + 94 + 4 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3557944799) and next prime (3557944801).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3557944801) 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, 984597 + ... + 988203.

It is an arithmetic number, because the mean of its divisors is an integer number (58524466).

Almost surely, 2^3557944800 is an apocalyptic number.

3557944800 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 3557944800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6320642328).

3557944800 is an abundant number, since it is smaller than the sum of its proper divisors (9083339856).

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

3557944800 is a wasteful number, since it uses less digits than its factorization.

3557944800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3557944800 is about 59648.5104591892. The cubic root of 3557944800 is about 1526.6274554572.

The spelling of 3557944800 in words is "three billion, five hundred fifty-seven million, nine hundred forty-four thousand, eight hundred".