3435116928000 has 176 divisors, whose sum is σ = 11426488348704. Its totient is φ = 916031078400.

The previous prime is 3435116927989. The next prime is 3435116928007. The reversal of 3435116928000 is 8296115343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3435116928007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4088809 + ... + 4856808.

It is an arithmetic number, because the mean of its divisors is an integer number (64923229254).

Almost surely, 2^{3435116928000} is an apocalyptic number.

3435116928000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3435116928000 is an abundant number, since it is smaller than the sum of its proper divisors (7991371420704).

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

3435116928000 is an equidigital number, since it uses as much as digits as its factorization.

3435116928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8945655 (or 8945627 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 3435116928000 in words is "three trillion, four hundred thirty-five billion, one hundred sixteen million, nine hundred twenty-eight thousand".