3332350404 has 72 divisors (see below), whose sum is σ = 8941416120. Its totient is φ = 1042808832.

The previous prime is 3332350379. The next prime is 3332350409. The reversal of 3332350404 is 4040532333.

It is a happy number.

3332350404 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1413910404 + 1918440000 = 37602^2 + 43800^2 .

It is a super-2 number, since 2×3332350404² = 22209118430077926432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3332350409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243652 + ... + 256964.

It is an arithmetic number, because the mean of its divisors is an integer number (124186335).

Almost surely, 2^3332350404 is an apocalyptic number.

3332350404 is a gapful number since it is divisible by the number (34) 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 3332350404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470708060).

3332350404 is an abundant number, since it is smaller than the sum of its proper divisors (5609065716).

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

3332350404 is a wasteful number, since it uses less digits than its factorization.

3332350404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13749 (or 13744 counting only the distinct ones).

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

The square root of 3332350404 is about 57726.5138736092. The cubic root of 3332350404 is about 1493.6547376117.

Adding to 3332350404 its reverse (4040532333), we get a palindrome (7372882737).

The spelling of 3332350404 in words is "three billion, three hundred thirty-two million, three hundred fifty thousand, four hundred four".