3355473600 has 420 divisors, whose sum is σ = 13067973864. Its totient is φ = 841605120.

The previous prime is 3355473581. The next prime is 3355473613. The reversal of 3355473600 is 63745533.

3355473600 is a `hidden beast` number, since 3 + 3 + 5 + 5 + 47 + 3 + 600 = 666.

It is a super-3 number, since 3×3355473600³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2202439 + ... + 2203961.

Almost surely, 2^3355473600 is an apocalyptic number.

3355473600 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 3355473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6533986932).

3355473600 is an abundant number, since it is smaller than the sum of its proper divisors (9712500264).

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

3355473600 is a wasteful number, since it uses less digits than its factorization.

3355473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The square root of 3355473600 is about 57926.4499171147. The cubic root of 3355473600 is about 1497.1016031376.

The spelling of 3355473600 in words is "three billion, three hundred fifty-five million, four hundred seventy-three thousand, six hundred".