3320412480 has 1344 divisors, whose sum is σ = 16011509760. Its totient is φ = 638668800.

The previous prime is 3320412439. The next prime is 3320412481. The reversal of 3320412480 is 842140233.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×3320412480² = 22050278074679500800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320412481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 107110065 + ... + 107110095.

Almost surely, 2^3320412480 is an apocalyptic number.

3320412480 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 3320412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8005754880).

3320412480 is an abundant number, since it is smaller than the sum of its proper divisors (12691097280).

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

3320412480 is a wasteful number, since it uses less digits than its factorization.

3320412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3320412480 is about 57623.0203998367. The cubic root of 3320412480 is about 1491.8689638074.

The spelling of 3320412480 in words is "three billion, three hundred twenty million, four hundred twelve thousand, four hundred eighty".