3433801364928 has 672 divisors, whose sum is σ = 11663636954112. Its totient is φ = 954055065600.

The previous prime is 3433801364839. The next prime is 3433801364941. The reversal of 3433801364928 is 8294631083343.

3433801364928 is a `hidden beast` number, since 3 + 43 + 3 + 80 + 1 + 36 + 492 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2413071225 + ... + 2413072647.

Almost surely, 2^{3433801364928} 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 3433801364928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5831818477056).

3433801364928 is an abundant number, since it is smaller than the sum of its proper divisors (8229835589184).

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

3433801364928 is a wasteful number, since it uses less digits than its factorization.

3433801364928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 3433801364928 in words is "three trillion, four hundred thirty-three billion, eight hundred one million, three hundred sixty-four thousand, nine hundred twenty-eight".