3407642112 has 320 divisors, whose sum is σ = 11153286144. Its totient is φ = 902430720.

The previous prime is 3407642111. The next prime is 3407642123. The reversal of 3407642112 is 2112467043.

It is a super-2 number, since 2×3407642112² = 23224049526951641088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3407642112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3407642111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18826662 + ... + 18826842.

Almost surely, 2^3407642112 is an apocalyptic number.

3407642112 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 3407642112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576643072).

3407642112 is an abundant number, since it is smaller than the sum of its proper divisors (7745644032).

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

3407642112 is a wasteful number, since it uses less digits than its factorization.

3407642112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3407642112 is about 58375.0127366153. The cubic root of 3407642112 is about 1504.8203612626.

The spelling of 3407642112 in words is "three billion, four hundred seven million, six hundred forty-two thousand, one hundred twelve".