3339072000 has 960 divisors, whose sum is σ = 14339939328. Its totient is φ = 737280000.

The previous prime is 3339071987. The next prime is 3339072001. The reversal of 3339072000 is 2709333.

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

It is a super-2 number, since 2×3339072000² = 22298803642368000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3339072001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107711985 + ... + 107712015.

Almost surely, 2^3339072000 is an apocalyptic number.

3339072000 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 3339072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7169969664).

3339072000 is an abundant number, since it is smaller than the sum of its proper divisors (11000867328).

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

3339072000 is a wasteful number, since it uses less digits than its factorization.

3339072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 3339072000 is about 57784.7038583741. The cubic root of 3339072000 is about 1494.6583336472.

The spelling of 3339072000 in words is "three billion, three hundred thirty-nine million, seventy-two thousand".