3373332480 has 720 divisors, whose sum is σ = 14234580360. Its totient is φ = 761757696.

The previous prime is 3373332463. The next prime is 3373332497. The reversal of 3373332480 is 842333733.

It is an interprime number because it is at equal distance from previous prime (3373332463) and next prime (3373332497).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3373332480² = 22758744041245900800, 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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40642519 + ... + 40642601.

Almost surely, 2^3373332480 is an apocalyptic number.

3373332480 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 3373332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7117290180).

3373332480 is an abundant number, since it is smaller than the sum of its proper divisors (10861247880).

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

3373332480 is an equidigital number, since it uses as much as digits as its factorization.

3373332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The square root of 3373332480 is about 58080.3966928601. The cubic root of 3373332480 is about 1499.7529193030.

The spelling of 3373332480 in words is "three billion, three hundred seventy-three million, three hundred thirty-two thousand, four hundred eighty".