3321373440 has 576 divisors, whose sum is σ = 13563002880. Its totient is φ = 672645120.

The previous prime is 3321373439. The next prime is 3321373457. The reversal of 3321373440 is 443731233.

It is a super-2 number, since 2×3321373440² = 22063043055874867200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3321373398 and 3321373407.

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, 13896841 + ... + 13897079.

It is an arithmetic number, because the mean of its divisors is an integer number (23546880).

Almost surely, 2^3321373440 is an apocalyptic number.

3321373440 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 3321373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6781501440).

3321373440 is an abundant number, since it is smaller than the sum of its proper divisors (10241629440).

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

3321373440 is a wasteful number, since it uses less digits than its factorization.

3321373440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 30.

The square root of 3321373440 is about 57631.3581307954. The cubic root of 3321373440 is about 1492.0128704384.

The spelling of 3321373440 in words is "three billion, three hundred twenty-one million, three hundred seventy-three thousand, four hundred forty".