3432528341280 has 576 divisors, whose sum is σ = 12488663835648. Its totient is φ = 855538237440.

The previous prime is 3432528341251. The next prime is 3432528341303. The reversal of 3432528341280 is 821438252343.

3432528341280 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 5 + 28 + 341 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2774880822 + ... + 2774882058.

It is an arithmetic number, because the mean of its divisors is an integer number (21681708048).

Almost surely, 2^{3432528341280} is an apocalyptic number.

3432528341280 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 3432528341280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6244331917824).

3432528341280 is an abundant number, since it is smaller than the sum of its proper divisors (9056135494368).

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

3432528341280 is a wasteful number, since it uses less digits than its factorization.

3432528341280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 3432528341280 in words is "three trillion, four hundred thirty-two billion, five hundred twenty-eight million, three hundred forty-one thousand, two hundred eighty".