3445242310400 has 216 divisors, whose sum is σ = 9305973629568. Its totient is φ = 1252380160000.

The previous prime is 3445242310399. The next prime is 3445242310421. The reversal of 3445242310400 is 40132425443.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258431735 + ... + 258445065.

It is an arithmetic number, because the mean of its divisors is an integer number (43083211248).

Almost surely, 2^{3445242310400} 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 3445242310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4652986814784).

3445242310400 is an abundant number, since it is smaller than the sum of its proper divisors (5860731319168).

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

3445242310400 is a wasteful number, since it uses less digits than its factorization.

3445242310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17039 (or 17020 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 3445242310400 its reverse (40132425443), we get a palindrome (3485374735843).

The spelling of 3445242310400 in words is "three trillion, four hundred forty-five billion, two hundred forty-two million, three hundred ten thousand, four hundred".