3300690624 has 448 divisors, whose sum is σ = 12050767872. Its totient is φ = 770457600.

The previous prime is 3300690623. The next prime is 3300690649. The reversal of 3300690624 is 4260960033.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3300690623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5780259 + ... + 5780829.

Almost surely, 2^3300690624 is an apocalyptic number.

3300690624 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 3300690624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6025383936).

3300690624 is an abundant number, since it is smaller than the sum of its proper divisors (8750077248).

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

3300690624 is a wasteful number, since it uses less digits than its factorization.

3300690624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 3300690624 is about 57451.6372612652. The cubic root of 3300690624 is about 1488.9094047848.

The spelling of 3300690624 in words is "three billion, three hundred million, six hundred ninety thousand, six hundred twenty-four".