3432723840 has 1024 divisors, whose sum is σ = 15628032000. Its totient is φ = 692748288.

The previous prime is 3432723839. The next prime is 3432723851. The reversal of 3432723840 is 483272343.

3432723840 is a `hidden beast` number, since 3 + 4 + 3 + 272 + 384 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3432723795 and 3432723804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58181731 + ... + 58181789.

It is an arithmetic number, because the mean of its divisors is an integer number (15261750).

Almost surely, 2^3432723840 is an apocalyptic number.

3432723840 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 3432723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7814016000).

3432723840 is an abundant number, since it is smaller than the sum of its proper divisors (12195308160).

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

3432723840 is a wasteful number, since it uses less digits than its factorization.

3432723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3432723840 is about 58589.4516103368. The cubic root of 3432723840 is about 1508.5033838848.

The spelling of 3432723840 in words is "three billion, four hundred thirty-two million, seven hundred twenty-three thousand, eight hundred forty".