3365312000 has 80 divisors (see below), whose sum is σ = 8391775392. Its totient is φ = 1346099200.

The previous prime is 3365311997. The next prime is 3365312003. The reversal of 3365312000 is 2135633.

It is an interprime number because it is at equal distance from previous prime (3365311997) and next prime (3365312003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3365312000² = 22650649714688000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3365312003) 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 7 ways as a sum of consecutive naturals, for example, 37709 + ... + 90291.

Almost surely, 2^3365312000 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 3365312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4195887696).

3365312000 is an abundant number, since it is smaller than the sum of its proper divisors (5026463392).

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

3365312000 is an frugal number, since it uses more digits than its factorization.

3365312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52616 (or 52590 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 23.

The square root of 3365312000 is about 58011.3092422503. The cubic root of 3365312000 is about 1498.5633652337.

Adding to 3365312000 its reverse (2135633), we get a palindrome (3367447633).

The spelling of 3365312000 in words is "three billion, three hundred sixty-five million, three hundred twelve thousand".