3535001122400 has 144 divisors (see below), whose sum is σ = 9420175195200. Its totient is φ = 1284659673600.

The previous prime is 3535001122391. The next prime is 3535001122409. The reversal of 3535001122400 is 42211005353.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3535001122391) and next prime (3535001122409).

It is a self number, because there is not a number n which added to its sum of digits gives 3535001122400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3535001122409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14194151 + ... + 14441049.

It is an arithmetic number, because the mean of its divisors is an integer number (65417883300).

Almost surely, 2^{3535001122400} 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 3535001122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4710087597600).

3535001122400 is an abundant number, since it is smaller than the sum of its proper divisors (5885174072800).

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

3535001122400 is a wasteful number, since it uses less digits than its factorization.

3535001122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248557 (or 248544 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 3535001122400 its reverse (42211005353), we get a palindrome (3577212127753).

The spelling of 3535001122400 in words is "three trillion, five hundred thirty-five billion, one million, one hundred twenty-two thousand, four hundred".