3300746624 has 64 divisors (see below), whose sum is σ = 7668564000. Its totient is φ = 1414586880.

The previous prime is 3300746587. The next prime is 3300746651. The reversal of 3300746624 is 4266470033.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6314 + ... + 81494.

Almost surely, 2^3300746624 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 3300746624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3834282000).

3300746624 is an abundant number, since it is smaller than the sum of its proper divisors (4367817376).

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

3300746624 is an frugal number, since it uses more digits than its factorization.

3300746624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75216 (or 75190 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 35.

The square root of 3300746624 is about 57452.1246256394. The cubic root of 3300746624 is about 1488.9178250888.

The spelling of 3300746624 in words is "three billion, three hundred million, seven hundred forty-six thousand, six hundred twenty-four".