3378355200 has 792 divisors, whose sum is σ = 13938203136. Its totient is φ = 774144000.

The previous prime is 3378355153. The next prime is 3378355283. The reversal of 3378355200 is 25538733.

3378355200 is a `hidden beast` number, since 33 + 78 + 3 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×3378355200² = 22826567714734080000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78566379 + ... + 78566421.

Almost surely, 2^3378355200 is an apocalyptic number.

3378355200 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 3378355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6969101568).

3378355200 is an abundant number, since it is smaller than the sum of its proper divisors (10559847936).

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

3378355200 is a wasteful number, since it uses less digits than its factorization.

3378355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3378355200 is about 58123.6199836177. The cubic root of 3378355200 is about 1500.4969020407.

The spelling of 3378355200 in words is "three billion, three hundred seventy-eight million, three hundred fifty-five thousand, two hundred".