3401232120 has 384 divisors, whose sum is σ = 13473008640. Its totient is φ = 760803840.

The previous prime is 3401232119. The next prime is 3401232137. The reversal of 3401232120 is 212321043.

3401232120 is a `hidden beast` number, since 340 + 1 + 2 + 321 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3401232093 and 3401232102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1388737 + ... + 1391183.

It is an arithmetic number, because the mean of its divisors is an integer number (35085960).

Almost surely, 2^3401232120 is an apocalyptic number.

3401232120 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 3401232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736504320).

3401232120 is an abundant number, since it is smaller than the sum of its proper divisors (10071776520).

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

3401232120 is a wasteful number, since it uses less digits than its factorization.

3401232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3401232120 is about 58320.0833332738. The cubic root of 3401232120 is about 1503.8762146783.

Adding to 3401232120 its reverse (212321043), we get a palindrome (3613553163).

It can be divided in two parts, 340123 and 2120, that added together give a palindrome (342243).

The spelling of 3401232120 in words is "three billion, four hundred one million, two hundred thirty-two thousand, one hundred twenty".