3451407120 has 180 divisors, whose sum is σ = 13483517580. Its totient is φ = 788884992.

The previous prime is 3451407107. The next prime is 3451407137. The reversal of 3451407120 is 217041543.

It can be written as a sum of positive squares in 2 ways, for example, as 1771063056 + 1680344064 = 42084^2 + 40992^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×3451407120² = 23824422215973388800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13635 + ... + 84194.

It is an arithmetic number, because the mean of its divisors is an integer number (74908431).

Almost surely, 2^3451407120 is an apocalyptic number.

3451407120 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 3451407120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6741758790).

3451407120 is an abundant number, since it is smaller than the sum of its proper divisors (10032110460).

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

3451407120 is a wasteful number, since it uses less digits than its factorization.

3451407120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97862 (or 97846 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3451407120 is about 58748.6776021384. The cubic root of 3451407120 is about 1511.2352099319.

Adding to 3451407120 its reverse (217041543), we get a palindrome (3668448663).

The spelling of 3451407120 in words is "three billion, four hundred fifty-one million, four hundred seven thousand, one hundred twenty".