3355225200 has 480 divisors, whose sum is σ = 12786681600. Its totient is φ = 833172480.

The previous prime is 3355225189. The next prime is 3355225217. The reversal of 3355225200 is 25225533.

It is a super-2 number, since 2×3355225200² = 22515072285430080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17031502 + ... + 17031698.

It is an arithmetic number, because the mean of its divisors is an integer number (26638920).

Almost surely, 2^3355225200 is an apocalyptic number.

3355225200 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 3355225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6393340800).

3355225200 is an abundant number, since it is smaller than the sum of its proper divisors (9431456400).

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

3355225200 is a wasteful number, since it uses less digits than its factorization.

3355225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 3355225200 is about 57924.3057791805. The cubic root of 3355225200 is about 1497.0646595980.

The spelling of 3355225200 in words is "three billion, three hundred fifty-five million, two hundred twenty-five thousand, two hundred".