3450188784 has 360 divisors, whose sum is σ = 11256779520. Its totient is φ = 907205376.

The previous prime is 3450188773. The next prime is 3450188821. The reversal of 3450188784 is 4878810543.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58477747 + ... + 58477805.

It is an arithmetic number, because the mean of its divisors is an integer number (31268832).

Almost surely, 2^3450188784 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 3450188784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5628389760).

3450188784 is an abundant number, since it is smaller than the sum of its proper divisors (7806590736).

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

3450188784 is a wasteful number, since it uses less digits than its factorization.

3450188784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 3450188784 is about 58738.3076364990. The cubic root of 3450188784 is about 1511.0573685584.

The spelling of 3450188784 in words is "three billion, four hundred fifty million, one hundred eighty-eight thousand, seven hundred eighty-four".