3330944640 has 768 divisors, whose sum is σ = 13527648000. Its totient is φ = 772079616.

The previous prime is 3330944633. The next prime is 3330944641. The reversal of 3330944640 is 464490333.

It is a happy number.

3330944640 is a `hidden beast` number, since 3 + 3 + 3 + 0 + 9 + 4 + 4 + 640 = 666.

It is a super-2 number, since 2×3330944640² = 22190384389489459200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3330944595 and 3330944604.

It is not an unprimeable number, because it can be changed into a prime (3330944641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114860146 + ... + 114860174.

It is an arithmetic number, because the mean of its divisors is an integer number (17614125).

Almost surely, 2^3330944640 is an apocalyptic number.

3330944640 is a gapful number since it is divisible by the number (30) 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 3330944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6763824000).

3330944640 is an abundant number, since it is smaller than the sum of its proper divisors (10196703360).

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

3330944640 is a wasteful number, since it uses less digits than its factorization.

3330944640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3330944640 is about 57714.3365204868. The cubic root of 3330944640 is about 1493.4446735295. Note that the first 3 decimals are identical.

The spelling of 3330944640 in words is "three billion, three hundred thirty million, nine hundred forty-four thousand, six hundred forty".