3344946480 has 240 divisors, whose sum is σ = 11465266176. Its totient is φ = 873792000.

The previous prime is 3344946439. The next prime is 3344946481. The reversal of 3344946480 is 846494433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3344946480² = 22377333908128780800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3344946481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13326355 + ... + 13326605.

Almost surely, 2^3344946480 is an apocalyptic number.

3344946480 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 3344946480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5732633088).

3344946480 is an abundant number, since it is smaller than the sum of its proper divisors (8120319696).

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

3344946480 is a wasteful number, since it uses less digits than its factorization.

3344946480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 3344946480 is about 57835.5122740345. The cubic root of 3344946480 is about 1495.5343451444.

The spelling of 3344946480 in words is "three billion, three hundred forty-four million, nine hundred forty-six thousand, four hundred eighty".