3375880200 has 768 divisors, whose sum is σ = 15170457600. Its totient is φ = 669081600.

The previous prime is 3375880199. The next prime is 3375880237. The reversal of 3375880200 is 20885733.

3375880200 is a `hidden beast` number, since 3 + 375 + 8 + 80 + 200 = 666.

It is a super-2 number, since 2×3375880200² = 22793134249504080000, which contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 9563224 + ... + 9563576.

It is an arithmetic number, because the mean of its divisors is an integer number (19753200).

Almost surely, 2^3375880200 is an apocalyptic number.

3375880200 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 3375880200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7585228800).

3375880200 is an abundant number, since it is smaller than the sum of its proper divisors (11794577400).

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

3375880200 is a wasteful number, since it uses less digits than its factorization.

3375880200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3375880200 is about 58102.3252546746. The cubic root of 3375880200 is about 1500.1303886655.

The spelling of 3375880200 in words is "three billion, three hundred seventy-five million, eight hundred eighty thousand, two hundred".