3535321382768 has 160 divisors (see below), whose sum is σ = 7988364426240. Its totient is φ = 1484538531840.

The previous prime is 3535321382753. The next prime is 3535321382779. The reversal of 3535321382768 is 8672831235353.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 445980821 + ... + 445988747.

It is an arithmetic number, because the mean of its divisors is an integer number (49927277664).

Almost surely, 2^{3535321382768} 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 3535321382768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994182213120).

3535321382768 is an abundant number, since it is smaller than the sum of its proper divisors (4453043043472).

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

3535321382768 is a wasteful number, since it uses less digits than its factorization.

3535321382768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8455 (or 8449 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 56.

The spelling of 3535321382768 in words is "three trillion, five hundred thirty-five billion, three hundred twenty-one million, three hundred eighty-two thousand, seven hundred sixty-eight".