3432382464 has 288 divisors, whose sum is σ = 11072920320. Its totient is φ = 924844032.

The previous prime is 3432382451. The next prime is 3432382489. The reversal of 3432382464 is 4642832343.

It is a super-2 number, since 2×3432382464² = 23562498758349422592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79822827 + ... + 79822869.

It is an arithmetic number, because the mean of its divisors is an integer number (38447640).

Almost surely, 2^3432382464 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 3432382464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5536460160).

3432382464 is an abundant number, since it is smaller than the sum of its proper divisors (7640537856).

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

3432382464 is an frugal number, since it uses more digits than its factorization.

3432382464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 84 counting only the distinct ones).

The product of its digits is 331776, while the sum is 39.

The square root of 3432382464 is about 58586.5382489869. The cubic root of 3432382464 is about 1508.4533765683.

The spelling of 3432382464 in words is "three billion, four hundred thirty-two million, three hundred eighty-two thousand, four hundred sixty-four".