3407161920 has 112 divisors (see below), whose sum is σ = 10838249088. Its totient is φ = 906854400.

The previous prime is 3407161907. The next prime is 3407161931. The reversal of 3407161920 is 291617043.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550845 + ... + 556995.

Almost surely, 2^3407161920 is an apocalyptic number.

3407161920 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 3407161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419124544).

3407161920 is an abundant number, since it is smaller than the sum of its proper divisors (7431087168).

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

3407161920 is a wasteful number, since it uses less digits than its factorization.

3407161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6748 (or 6738 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 3407161920 is about 58370.8995990297. The cubic root of 3407161920 is about 1504.7496734165.

Adding to 3407161920 its reverse (291617043), we get a palindrome (3698778963).

The spelling of 3407161920 in words is "three billion, four hundred seven million, one hundred sixty-one thousand, nine hundred twenty".