3369072000 has 512 divisors, whose sum is σ = 13157314560. Its totient is φ = 746496000.

The previous prime is 3369071941. The next prime is 3369072023. The reversal of 3369072000 is 2709633.

It is a happy number.

3369072000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3369072000² = 22701292282368000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12431865 + ... + 12432135.

It is an arithmetic number, because the mean of its divisors is an integer number (25697880).

Almost surely, 2^3369072000 is an apocalyptic number.

3369072000 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 3369072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6578657280).

3369072000 is an abundant number, since it is smaller than the sum of its proper divisors (9788242560).

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

3369072000 is a wasteful number, since it uses less digits than its factorization.

3369072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 3369072000 is about 58043.7076693073. The cubic root of 3369072000 is about 1499.1212630926.

The spelling of 3369072000 in words is "three billion, three hundred sixty-nine million, seventy-two thousand".