3336686400 has 168 divisors, whose sum is σ = 10981395360. Its totient is φ = 886999040.

The previous prime is 3336686377. The next prime is 3336686401. The reversal of 3336686400 is 46866333.

It is a super-2 number, since 2×3336686400² = 22266952263889920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3336686401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1866307 + ... + 1868093.

Almost surely, 2^3336686400 is an apocalyptic number.

3336686400 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 3336686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490697680).

3336686400 is an abundant number, since it is smaller than the sum of its proper divisors (7644708960).

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

3336686400 is a wasteful number, since it uses less digits than its factorization.

3336686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The square root of 3336686400 is about 57764.0580291932. The cubic root of 3336686400 is about 1494.3022959598.

The spelling of 3336686400 in words is "three billion, three hundred thirty-six million, six hundred eighty-six thousand, four hundred".