3300605952 has 240 divisors, whose sum is σ = 10305090432. Its totient is φ = 920125440.

The previous prime is 3300605951. The next prime is 3300605953. The reversal of 3300605952 is 2595060033.

It is an interprime number because it is at equal distance from previous prime (3300605951) and next prime (3300605953).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300605951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18235302 + ... + 18235482.

Almost surely, 2^3300605952 is an apocalyptic number.

3300605952 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 3300605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152545216).

3300605952 is an abundant number, since it is smaller than the sum of its proper divisors (7004484480).

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

3300605952 is an equidigital number, since it uses as much as digits as its factorization.

3300605952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 33.

The square root of 3300605952 is about 57450.9003584800. The cubic root of 3300605952 is about 1488.8966731044.

Adding to 3300605952 its reverse (2595060033), we get a palindrome (5895665985).

The spelling of 3300605952 in words is "three billion, three hundred million, six hundred five thousand, nine hundred fifty-two".