3355045200 has 360 divisors, whose sum is σ = 13279259448. Its totient is φ = 777093120.

The previous prime is 3355045181. The next prime is 3355045219. The reversal of 3355045200 is 25405533.

It is an interprime number because it is at equal distance from previous prime (3355045181) and next prime (3355045219).

It can be written as a sum of positive squares in 12 ways, for example, as 415670544 + 2939374656 = 20388^2 + 54216^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3355045200² = 22512656588086080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 793492 + ... + 797708.

Almost surely, 2^3355045200 is an apocalyptic number.

3355045200 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 3355045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6639629724).

3355045200 is an abundant number, since it is smaller than the sum of its proper divisors (9924214248).

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

3355045200 is a wasteful number, since it uses less digits than its factorization.

3355045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4271 (or 4257 counting only the distinct ones).

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

The square root of 3355045200 is about 57922.7520064439. The cubic root of 3355045200 is about 1497.0378877778.

The spelling of 3355045200 in words is "three billion, three hundred fifty-five million, forty-five thousand, two hundred".