3430381888 has 56 divisors (see below), whose sum is σ = 7002969992. Its totient is φ = 1666013184.

The previous prime is 3430381883. The next prime is 3430381931. The reversal of 3430381888 is 8881830343.

3430381888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2820884544 + 609497344 = 53112^2 + 24688^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430381883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2360170 + ... + 2361622.

Almost surely, 2^3430381888 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 3430381888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501484996).

3430381888 is an abundant number, since it is smaller than the sum of its proper divisors (3572588104).

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

3430381888 is a wasteful number, since it uses less digits than its factorization.

3430381888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The square root of 3430381888 is about 58569.4620770927. The cubic root of 3430381888 is about 1508.1602505204.

The spelling of 3430381888 in words is "three billion, four hundred thirty million, three hundred eighty-one thousand, eight hundred eighty-eight".