3344953320 has 384 divisors, whose sum is σ = 12340823040. Its totient is φ = 811192320.

The previous prime is 3344953301. The next prime is 3344953321. The reversal of 3344953320 is 233594433.

It is a super-2 number, since 2×3344953320² = 22377425425958044800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3344953321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5122114 + ... + 5122766.

It is an arithmetic number, because the mean of its divisors is an integer number (32137560).

Almost surely, 2^3344953320 is an apocalyptic number.

3344953320 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 3344953320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6170411520).

3344953320 is an abundant number, since it is smaller than the sum of its proper divisors (8995869720).

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

3344953320 is a wasteful number, since it uses less digits than its factorization.

3344953320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 3344953320 is about 57835.5714072231. The cubic root of 3344953320 is about 1495.5353645377.

The spelling of 3344953320 in words is "three billion, three hundred forty-four million, nine hundred fifty-three thousand, three hundred twenty".