3321472000 has 352 divisors, whose sum is σ = 10361684736. Its totient is φ = 1032192000.

The previous prime is 3321471991. The next prime is 3321472001. The reversal of 3321472000 is 2741233.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×3321472000² = 22064352493568000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (3321472001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9855832 + ... + 9856168.

Almost surely, 2^3321472000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3321472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5180842368).

3321472000 is an abundant number, since it is smaller than the sum of its proper divisors (7040212736).

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

3321472000 is a wasteful number, since it uses less digits than its factorization.

3321472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 3321472000 is about 57632.2132144862. The cubic root of 3321472000 is about 1492.0276285233.

The spelling of 3321472000 in words is "three billion, three hundred twenty-one million, four hundred seventy-two thousand".