3344628672 has 784 divisors, whose sum is σ = 13325856000. Its totient is φ = 823011840.

The previous prime is 3344628659. The next prime is 3344628701. The reversal of 3344628672 is 2768264433.

It is a tau number, because it is divible by the number of its divisors (784).

It is a super-2 number, since 2×3344628672² = 22373081907128967168, which contains 22 as substring.

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

Its product of digits (1161216) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 176033079 + ... + 176033097.

Almost surely, 2^3344628672 is an apocalyptic number.

3344628672 is a gapful number since it is divisible by the number (32) 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 3344628672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6662928000).

3344628672 is an abundant number, since it is smaller than the sum of its proper divisors (9981227328).

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

3344628672 is an equidigital number, since it uses as much as digits as its factorization.

3344628672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 42 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 3344628672 is about 57832.7646926896. The cubic root of 3344628672 is about 1495.4869793808.

The spelling of 3344628672 in words is "three billion, three hundred forty-four million, six hundred twenty-eight thousand, six hundred seventy-two".