3435446001632 has 96 divisors (see below), whose sum is σ = 7064038810080. Its totient is φ = 1643007559680.

The previous prime is 3435446001553. The next prime is 3435446001643. The reversal of 3435446001632 is 2361006445343.

It is a self number, because there is not a number n which added to its sum of digits gives 3435446001632.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144219419 + ... + 144243237.

It is an arithmetic number, because the mean of its divisors is an integer number (73583737605).

Almost surely, 2^{3435446001632} is an apocalyptic number.

3435446001632 is a gapful number since it is divisible by the number (32) 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 3435446001632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532019405040).

3435446001632 is an abundant number, since it is smaller than the sum of its proper divisors (3628592808448).

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

3435446001632 is a wasteful number, since it uses less digits than its factorization.

3435446001632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25924 (or 25916 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 41.

The spelling of 3435446001632 in words is "three trillion, four hundred thirty-five billion, four hundred forty-six million, one thousand, six hundred thirty-two".