3432043440 has 640 divisors, whose sum is σ = 14399078400. Its totient is φ = 734469120.

The previous prime is 3432043423. The next prime is 3432043441. The reversal of 3432043440 is 443402343.

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

It is not an unprimeable number, because it can be changed into a prime (3432043441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24690891 + ... + 24691029.

It is an arithmetic number, because the mean of its divisors is an integer number (22498560).

Almost surely, 2^3432043440 is an apocalyptic number.

3432043440 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 3432043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7199539200).

3432043440 is an abundant number, since it is smaller than the sum of its proper divisors (10967034960).

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

3432043440 is a wasteful number, since it uses less digits than its factorization.

3432043440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3432043440 is about 58583.6448166210. The cubic root of 3432043440 is about 1508.4037105087.

Adding to 3432043440 its reverse (443402343), we get a palindrome (3875445783).

The spelling of 3432043440 in words is "three billion, four hundred thirty-two million, forty-three thousand, four hundred forty".