3331566420 has 192 divisors, whose sum is σ = 11511177216. Its totient is φ = 701084160.

The previous prime is 3331566391. The next prime is 3331566461. The reversal of 3331566420 is 246651333.

3331566420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3331566420² = 22198669621743232800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3444777 + ... + 3445743.

It is an arithmetic number, because the mean of its divisors is an integer number (59954048).

Almost surely, 2^3331566420 is an apocalyptic number.

3331566420 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 3331566420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5755588608).

3331566420 is an abundant number, since it is smaller than the sum of its proper divisors (8179610796).

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

3331566420 is a wasteful number, since it uses less digits than its factorization.

3331566420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 3331566420 is about 57719.7229723082. The cubic root of 3331566420 is about 1493.5375937425.

The spelling of 3331566420 in words is "three billion, three hundred thirty-one million, five hundred sixty-six thousand, four hundred twenty".