3335552000 has 352 divisors, whose sum is σ = 9564632064. Its totient is φ = 1148928000.

The previous prime is 3335551991. The next prime is 3335552009. The reversal of 3335552000 is 2555333.

It is an interprime number because it is at equal distance from previous prime (3335551991) and next prime (3335552009).

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-3 number, since 3×3335552000³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3335552009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32383949 + ... + 32384051.

Almost surely, 2^3335552000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3335552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4782316032).

3335552000 is an abundant number, since it is smaller than the sum of its proper divisors (6229080064).

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

3335552000 is a wasteful number, since it uses less digits than its factorization.

3335552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 26.

The square root of 3335552000 is about 57754.2379397391. The cubic root of 3335552000 is about 1494.1329334585.

The spelling of 3335552000 in words is "three billion, three hundred thirty-five million, five hundred fifty-two thousand".