3356828100 has 54 divisors (see below), whose sum is σ = 10521794010. Its totient is φ = 895153920.

The previous prime is 3356828077. The next prime is 3356828113. The reversal of 3356828100 is 18286533.

It can be written as a sum of positive squares in 3 ways, for example, as 248004 + 3356580096 = 498^2 + 57936^2 .

It is a super-2 number, since 2×3356828100² = 22536589785899220000, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1864005 + ... + 1865804.

Almost surely, 2^3356828100 is an apocalyptic number.

3356828100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3356828100 is an abundant number, since it is smaller than the sum of its proper divisors (7164965910).

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

3356828100 is a wasteful number, since it uses less digits than its factorization.

3356828100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729829 (or 3729819 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3356828100 is about 57938.1402877241. The cubic root of 3356828100 is about 1497.3030204404.

The spelling of 3356828100 in words is "three billion, three hundred fifty-six million, eight hundred twenty-eight thousand, one hundred".