3405206112 has 192 divisors, whose sum is σ = 11257118208. Its totient is φ = 875520000.

The previous prime is 3405206069. The next prime is 3405206137. The reversal of 3405206112 is 2116025043.

3405206112 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 Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 744312 + ... + 748872.

It is an arithmetic number, because the mean of its divisors is an integer number (58630824).

Almost surely, 2^3405206112 is an apocalyptic number.

3405206112 is a gapful number since it is divisible by the number (32) 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 3405206112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5628559104).

3405206112 is an abundant number, since it is smaller than the sum of its proper divisors (7851912096).

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

3405206112 is a wasteful number, since it uses less digits than its factorization.

3405206112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4693 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3405206112 is about 58354.1439145499. The cubic root of 3405206112 is about 1504.4616952477.

The spelling of 3405206112 in words is "three billion, four hundred five million, two hundred six thousand, one hundred twelve".