3433750897752 has 640 divisors, whose sum is σ = 11540319436800. Its totient is φ = 933301958400.

The previous prime is 3433750897673. The next prime is 3433750897799. The reversal of 3433750897752 is 2577980573343.

3433750897752 is a `hidden beast` number, since 3 + 4 + 3 + 3 + 7 + 508 + 9 + 77 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3433750897752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2789398977 + ... + 2789400207.

It is an arithmetic number, because the mean of its divisors is an integer number (18031749120).

Almost surely, 2^{3433750897752} 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 3433750897752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5770159718400).

3433750897752 is an abundant number, since it is smaller than the sum of its proper divisors (8106568539048).

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

3433750897752 is a wasteful number, since it uses less digits than its factorization.

3433750897752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 63.

The spelling of 3433750897752 in words is "three trillion, four hundred thirty-three billion, seven hundred fifty million, eight hundred ninety-seven thousand, seven hundred fifty-two".