3347488000 has 144 divisors (see below), whose sum is σ = 8459143056. Its totient is φ = 1319731200.

The previous prime is 3347487989. The next prime is 3347488007. The reversal of 3347488000 is 8847433.

It can be written as a sum of positive squares in 8 ways, for example, as 488233216 + 2859254784 = 22096^2 + 53472^2 .

It is a super-2 number, since 2×3347488000² = 22411351820288000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3347488007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2335284 + ... + 2336716.

It is an arithmetic number, because the mean of its divisors is an integer number (58744049).

Almost surely, 2^3347488000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3347488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4229571528).

3347488000 is an abundant number, since it is smaller than the sum of its proper divisors (5111655056).

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

3347488000 is an equidigital number, since it uses as much as digits as its factorization.

3347488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 3347488000 is about 57857.4800695640. The cubic root of 3347488000 is about 1495.9130226726.

The spelling of 3347488000 in words is "three billion, three hundred forty-seven million, four hundred eighty-eight thousand".