3338496000 has 960 divisors, whose sum is σ = 14841066240. Its totient is φ = 729907200.

The previous prime is 3338495987. The next prime is 3338496001. The reversal of 3338496000 is 6948333.

3338496000 is a `hidden beast` number, since 3 + 3 + 3 + 8 + 49 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×3338496000² = 22291111084032000000, 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 not an unprimeable number, because it can be changed into a prime (3338496001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 145151989 + ... + 145152011.

It is an arithmetic number, because the mean of its divisors is an integer number (15459444).

Almost surely, 2^3338496000 is an apocalyptic number.

3338496000 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 3338496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7420533120).

3338496000 is an abundant number, since it is smaller than the sum of its proper divisors (11502570240).

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

3338496000 is an equidigital number, since it uses as much as digits as its factorization.

3338496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3338496000 is about 57779.7196254880. The cubic root of 3338496000 is about 1494.5723843466.

The spelling of 3338496000 in words is "three billion, three hundred thirty-eight million, four hundred ninety-six thousand".