3331440420 has 288 divisors, whose sum is σ = 12222959616. Its totient is φ = 669715200.

The previous prime is 3331440407. The next prime is 3331440443. The reversal of 3331440420 is 240441333.

3331440420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3331440420² = 22196990544019552800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1000879 + ... + 1004201.

It is an arithmetic number, because the mean of its divisors is an integer number (42440832).

Almost surely, 2^3331440420 is an apocalyptic number.

3331440420 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 3331440420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6111479808).

3331440420 is an abundant number, since it is smaller than the sum of its proper divisors (8891519196).

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

3331440420 is a wasteful number, since it uses less digits than its factorization.

3331440420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3331440420 is about 57718.6314806580. The cubic root of 3331440420 is about 1493.5187649509.

Adding to 3331440420 its reverse (240441333), we get a palindrome (3571881753).

It can be divided in two parts, 333 and 1440420, that added together give a triangular number (1440753 = T₁₆₉₇).

The spelling of 3331440420 in words is "three billion, three hundred thirty-one million, four hundred forty thousand, four hundred twenty".