3430201824 has 192 divisors, whose sum is σ = 11496038400. Its totient is φ = 974744064.

The previous prime is 3430201823. The next prime is 3430201849. The reversal of 3430201824 is 4281020343.

3430201824 is a `hidden beast` number, since 3 + 430 + 201 + 8 + 24 = 666.

3430201824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430201823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1190017 + ... + 1192895.

It is an arithmetic number, because the mean of its divisors is an integer number (59875200).

Almost surely, 2^3430201824 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 3430201824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748019200).

3430201824 is an abundant number, since it is smaller than the sum of its proper divisors (8065836576).

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

3430201824 is a wasteful number, since it uses less digits than its factorization.

3430201824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3102 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3430201824 is about 58567.9248736030. The cubic root of 3430201824 is about 1508.1338618046.

The spelling of 3430201824 in words is "three billion, four hundred thirty million, two hundred one thousand, eight hundred twenty-four".