3344214720 has 672 divisors, whose sum is σ = 14110142976. Its totient is φ = 662323200.

The previous prime is 3344214703. The next prime is 3344214781. The reversal of 3344214720 is 274124433.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3344214720² = 22367544186929356800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11900980 + ... + 11901260.

Almost surely, 2^3344214720 is an apocalyptic number.

3344214720 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 3344214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7055071488).

3344214720 is an abundant number, since it is smaller than the sum of its proper divisors (10765928256).

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

3344214720 is a wasteful number, since it uses less digits than its factorization.

3344214720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 3344214720 is about 57829.1857110231. The cubic root of 3344214720 is about 1495.4252799189.

The spelling of 3344214720 in words is "three billion, three hundred forty-four million, two hundred fourteen thousand, seven hundred twenty".