3400252320 has 192 divisors, whose sum is σ = 11167269120. Its totient is φ = 868589568.

The previous prime is 3400252253. The next prime is 3400252321. The reversal of 3400252320 is 232520043.

It is not an unprimeable number, because it can be changed into a prime (3400252321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1906149 + ... + 1907931.

It is an arithmetic number, because the mean of its divisors is an integer number (58162860).

Almost surely, 2^3400252320 is an apocalyptic number.

3400252320 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 3400252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5583634560).

3400252320 is an abundant number, since it is smaller than the sum of its proper divisors (7767016800).

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

3400252320 is a wasteful number, since it uses less digits than its factorization.

3400252320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 3400252320 is about 58311.6825344630. The cubic root of 3400252320 is about 1503.7317925614.

Adding to 3400252320 its reverse (232520043), we get a palindrome (3632772363).

The spelling of 3400252320 in words is "three billion, four hundred million, two hundred fifty-two thousand, three hundred twenty".