3370740480 has 216 divisors, whose sum is σ = 12095468112. Its totient is φ = 898781184.

The previous prime is 3370740449. The next prime is 3370740511. The reversal of 3370740480 is 840470733.

It is an interprime number because it is at equal distance from previous prime (3370740449) and next prime (3370740511).

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×3370740480² = 22723782767021260800, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 305622 + ... + 316458.

Almost surely, 2^3370740480 is an apocalyptic number.

3370740480 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 3370740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6047734056).

3370740480 is an abundant number, since it is smaller than the sum of its proper divisors (8724727632).

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

3370740480 is an equidigital number, since it uses as much as digits as its factorization.

3370740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10873 (or 10847 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3370740480 is about 58058.0785076461. The cubic root of 3370740480 is about 1499.3686943394.

The spelling of 3370740480 in words is "three billion, three hundred seventy million, seven hundred forty thousand, four hundred eighty".