3406236120 has 192 divisors, whose sum is σ = 12684672000. Its totient is φ = 776542464.

The previous prime is 3406236107. The next prime is 3406236121. The reversal of 3406236120 is 216326043.

3406236120 is a `hidden beast` number, since 3 + 40 + 6 + 2 + 3 + 612 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406236121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1104741 + ... + 1107819.

It is an arithmetic number, because the mean of its divisors is an integer number (66066000).

Almost surely, 2^3406236120 is an apocalyptic number.

3406236120 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 3406236120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6342336000).

3406236120 is an abundant number, since it is smaller than the sum of its proper divisors (9278435880).

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

3406236120 is a wasteful number, since it uses less digits than its factorization.

3406236120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3542 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3406236120 is about 58362.9687387473. The cubic root of 3406236120 is about 1504.6133699986.

The spelling of 3406236120 in words is "three billion, four hundred six million, two hundred thirty-six thousand, one hundred twenty".