3356928000 has 576 divisors, whose sum is σ = 12755957760. Its totient is φ = 847872000.

The previous prime is 3356927989. The next prime is 3356928007. The reversal of 3356928000 is 8296533.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3356928000² = 22537931194368000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3356928007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71423977 + ... + 71424023.

It is an arithmetic number, because the mean of its divisors is an integer number (22145760).

Almost surely, 2^3356928000 is an apocalyptic number.

3356928000 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 3356928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6377978880).

3356928000 is an abundant number, since it is smaller than the sum of its proper divisors (9399029760).

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

3356928000 is a wasteful number, since it uses less digits than its factorization.

3356928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3356928000 is about 57939.0024077046. The cubic root of 3356928000 is about 1497.3178736573.

The spelling of 3356928000 in words is "three billion, three hundred fifty-six million, nine hundred twenty-eight thousand".