3348946944 has 420 divisors, whose sum is σ = 11751329304. Its totient is φ = 947552256.

The previous prime is 3348946927. The next prime is 3348946949. The reversal of 3348946944 is 4496498433.

3348946944 is a `hidden beast` number, since 33 + 489 + 46 + 94 + 4 = 666.

It is a super-2 number, since 2×3348946944² = 22430891267453878272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3348946949) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32513997 + ... + 32514099.

Almost surely, 2^3348946944 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 3348946944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875664652).

3348946944 is an abundant number, since it is smaller than the sum of its proper divisors (8402382360).

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

3348946944 is an equidigital number, since it uses as much as digits as its factorization.

3348946944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 115 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The square root of 3348946944 is about 57870.0867806503. The cubic root of 3348946944 is about 1496.1303136028.

The spelling of 3348946944 in words is "three billion, three hundred forty-eight million, nine hundred forty-six thousand, nine hundred forty-four".