3529349222400 has 468 divisors, whose sum is σ = 12732777133440. Its totient is φ = 934354944000.

The previous prime is 3529349222383. The next prime is 3529349222411. The reversal of 3529349222400 is 42229439253.

3529349222400 is a `hidden beast` number, since 3 + 52 + 93 + 4 + 92 + 22 + 400 = 666.

It is a super-3 number, since 3×3529349222400³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 128088625 + ... + 128116175.

Almost surely, 2^{3529349222400} is an apocalyptic number.

3529349222400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3529349222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6366388566720).

3529349222400 is an abundant number, since it is smaller than the sum of its proper divisors (9203427911040).

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

3529349222400 is a wasteful number, since it uses less digits than its factorization.

3529349222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27730 (or 27700 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 3529349222400 in words is "three trillion, five hundred twenty-nine billion, three hundred forty-nine million, two hundred twenty-two thousand, four hundred".