3524365244400 has 960 divisors, whose sum is σ = 15956125409280. Its totient is φ = 640418918400.

The previous prime is 3524365244371. The next prime is 3524365244417. The reversal of 3524365244400 is 44425634253.

It is a happy number.

3524365244400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22745589 + ... + 22900011.

It is an arithmetic number, because the mean of its divisors is an integer number (16620963968).

Almost surely, 2^{3524365244400} is an apocalyptic number.

3524365244400 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 3524365244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7978062704640).

3524365244400 is an abundant number, since it is smaller than the sum of its proper divisors (12431760164880).

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

3524365244400 is a wasteful number, since it uses less digits than its factorization.

3524365244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154494 (or 154483 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 42.

The spelling of 3524365244400 in words is "three trillion, five hundred twenty-four billion, three hundred sixty-five million, two hundred forty-four thousand, four hundred".