3356121600 has 720 divisors, whose sum is σ = 13575193632. Its totient is φ = 816168960.

The previous prime is 3356121581. The next prime is 3356121617. The reversal of 3356121600 is 61216533.

3356121600 is a `hidden beast` number, since 3 + 3 + 56 + 1 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3356121600² = 22527104387973120000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40435159 + ... + 40435241.

Almost surely, 2^3356121600 is an apocalyptic number.

3356121600 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 3356121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6787596816).

3356121600 is an abundant number, since it is smaller than the sum of its proper divisors (10219072032).

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

3356121600 is an equidigital number, since it uses as much as digits as its factorization.

3356121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3356121600 is about 57932.0429468873. The cubic root of 3356121600 is about 1497.1979690074.

The spelling of 3356121600 in words is "three billion, three hundred fifty-six million, one hundred twenty-one thousand, six hundred".