3407420160 has 432 divisors, whose sum is σ = 12672930816. Its totient is φ = 842268672.

The previous prime is 3407420113. The next prime is 3407420161. The reversal of 3407420160 is 610247043.

It is a super-2 number, since 2×3407420160² = 23221024293548851200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3407420161) 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, 24871612 + ... + 24871748.

It is an arithmetic number, because the mean of its divisors is an integer number (29335488).

Almost surely, 2^3407420160 is an apocalyptic number.

3407420160 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 3407420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6336465408).

3407420160 is an abundant number, since it is smaller than the sum of its proper divisors (9265510656).

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

3407420160 is a wasteful number, since it uses less digits than its factorization.

3407420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3407420160 is about 58373.1116182785. Note that the first 3 decimals coincide. The cubic root of 3407420160 is about 1504.7876890971.

The spelling of 3407420160 in words is "three billion, four hundred seven million, four hundred twenty thousand, one hundred sixty".