3557894400 has 324 divisors, whose sum is σ = 13393882320. Its totient is φ = 898560000.

The previous prime is 3557894387. The next prime is 3557894401. The reversal of 3557894400 is 44987553.

3557894400 is a `hidden beast` number, since 3 + 557 + 8 + 94 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×3557894400² = 25317225123102720000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3557894401) 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, 1092775 + ... + 1096025.

Almost surely, 2^3557894400 is an apocalyptic number.

3557894400 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 3557894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696941160).

3557894400 is an abundant number, since it is smaller than the sum of its proper divisors (9835987920).

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

3557894400 is a wasteful number, since it uses less digits than its factorization.

3557894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3280 counting only the distinct ones).

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

The square root of 3557894400 is about 59648.0879827677. The cubic root of 3557894400 is about 1526.6202469523.

The spelling of 3557894400 in words is "three billion, five hundred fifty-seven million, eight hundred ninety-four thousand, four hundred".