3329340480 has 336 divisors, whose sum is σ = 11982297600. Its totient is φ = 847503360.

The previous prime is 3329340463. The next prime is 3329340491. The reversal of 3329340480 is 840439233.

It is a happy number.

It is a super-2 number, since 2×3329340480² = 22169016063533260800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7945711 + ... + 7946129.

It is an arithmetic number, because the mean of its divisors is an integer number (35661600).

Almost surely, 2^3329340480 is an apocalyptic number.

3329340480 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 3329340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991148800).

3329340480 is an abundant number, since it is smaller than the sum of its proper divisors (8652957120).

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

3329340480 is a wasteful number, since it uses less digits than its factorization.

3329340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3329340480 is about 57700.4374333505. The cubic root of 3329340480 is about 1493.2048908095.

The spelling of 3329340480 in words is "three billion, three hundred twenty-nine million, three hundred forty thousand, four hundred eighty".