3334630656 has 288 divisors, whose sum is σ = 10672623360. Its totient is φ = 904200192.

The previous prime is 3334630633. The next prime is 3334630657. The reversal of 3334630656 is 6560364333.

It is a super-2 number, since 2×3334630656² = 22239523223869980672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3334630657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11380846 + ... + 11381138.

It is an arithmetic number, because the mean of its divisors is an integer number (37057720).

Almost surely, 2^3334630656 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 3334630656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5336311680).

3334630656 is an abundant number, since it is smaller than the sum of its proper divisors (7337992704).

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

3334630656 is a wasteful number, since it uses less digits than its factorization.

3334630656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 39.

The square root of 3334630656 is about 57746.2609698671. The cubic root of 3334630656 is about 1493.9953513150.

Adding to 3334630656 its reverse (6560364333), we get a palindrome (9894994989).

The spelling of 3334630656 in words is "three billion, three hundred thirty-four million, six hundred thirty thousand, six hundred fifty-six".