3395307744 has 144 divisors (see below), whose sum is σ = 9928913904. Its totient is φ = 1099929600.

The previous prime is 3395307739. The next prime is 3395307749. The reversal of 3395307744 is 4477035933.

It is a happy number.

3395307744 is a `hidden beast` number, since 3 + 3 + 9 + 530 + 77 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (3395307739) and next prime (3395307749).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3395307744² = 23056229352932739072, 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 self number, because there is not a number n which added to its sum of digits gives 3395307744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3395307749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4970827 + ... + 4971509.

It is an arithmetic number, because the mean of its divisors is an integer number (68950791).

Almost surely, 2^3395307744 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 3395307744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4964456952).

3395307744 is an abundant number, since it is smaller than the sum of its proper divisors (6533606160).

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

3395307744 is a wasteful number, since it uses less digits than its factorization.

3395307744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The square root of 3395307744 is about 58269.2692935135. The cubic root of 3395307744 is about 1503.0025404902.

The spelling of 3395307744 in words is "three billion, three hundred ninety-five million, three hundred seven thousand, seven hundred forty-four".