3435960040128 has 1512 divisors, whose sum is σ = 13645772708400. Its totient is φ = 844575621120.

The previous prime is 3435960040099. The next prime is 3435960040169. The reversal of 3435960040128 is 8210400695343.

3435960040128 is a `hidden beast` number, since 3 + 4 + 3 + 596 + 0 + 0 + 40 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3698557168 + ... + 3698558096.

It is an arithmetic number, because the mean of its divisors is an integer number (9024981950).

Almost surely, 2^{3435960040128} is an apocalyptic number.

3435960040128 is a gapful number since it is divisible by the number (38) 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 3435960040128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6822886354200).

3435960040128 is an abundant number, since it is smaller than the sum of its proper divisors (10209812668272).

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

3435960040128 is a wasteful number, since it uses less digits than its factorization.

3435960040128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3435960040128 in words is "three trillion, four hundred thirty-five billion, nine hundred sixty million, forty thousand, one hundred twenty-eight".