3407621928 has 64 divisors (see below), whose sum is σ = 8848128000. Its totient is φ = 1092450240.

The previous prime is 3407621891. The next prime is 3407621929. The reversal of 3407621928 is 8291267043.

It is a super-2 number, since 2×3407621928² = 23223774408372874368, 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 3407621928.

It is not an unprimeable number, because it can be changed into a prime (3407621929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107223 + ... + 135321.

It is an arithmetic number, because the mean of its divisors is an integer number (138252000).

Almost surely, 2^3407621928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3407621928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424064000).

3407621928 is an abundant number, since it is smaller than the sum of its proper divisors (5440506072).

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

3407621928 is a wasteful number, since it uses less digits than its factorization.

3407621928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28302 (or 28298 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 3407621928 is about 58374.8398541700. The cubic root of 3407621928 is about 1504.8173901609.

The spelling of 3407621928 in words is "three billion, four hundred seven million, six hundred twenty-one thousand, nine hundred twenty-eight".