3350344032 has 288 divisors, whose sum is σ = 11519353440. Its totient is φ = 956261376.

The previous prime is 3350344031. The next prime is 3350344033. The reversal of 3350344032 is 2304430533.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3350344031) and next prime (3350344033).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3350344032² = 22449610265516034048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3350343987 and 3350344005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3350344031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3428728 + ... + 3429704.

It is an arithmetic number, because the mean of its divisors is an integer number (39997755).

Almost surely, 2^3350344032 is an apocalyptic number.

3350344032 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 3350344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5759676720).

3350344032 is an abundant number, since it is smaller than the sum of its proper divisors (8169009408).

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

3350344032 is an frugal number, since it uses more digits than its factorization.

3350344032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

The square root of 3350344032 is about 57882.1564214741. The cubic root of 3350344032 is about 1496.3383327352.

Adding to 3350344032 its reverse (2304430533), we get a palindrome (5654774565).

The spelling of 3350344032 in words is "three billion, three hundred fifty million, three hundred forty-four thousand, thirty-two".