3451689120 has 384 divisors, whose sum is σ = 12683962368. Its totient is φ = 780595200.

The previous prime is 3451689091. The next prime is 3451689121. The reversal of 3451689120 is 219861543.

It is a super-2 number, since 2×3451689120² = 23828315562252748800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3451689121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5221590 + ... + 5222250.

It is an arithmetic number, because the mean of its divisors is an integer number (33031152).

Almost surely, 2^3451689120 is an apocalyptic number.

3451689120 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 3451689120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6341981184).

3451689120 is an abundant number, since it is smaller than the sum of its proper divisors (9232273248).

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

3451689120 is a wasteful number, since it uses less digits than its factorization.

3451689120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 3451689120 is about 58751.0776071384. The cubic root of 3451689120 is about 1511.2763677078.

The spelling of 3451689120 in words is "three billion, four hundred fifty-one million, six hundred eighty-nine thousand, one hundred twenty".