3442750634400 has 576 divisors, whose sum is σ = 14793163176960. Its totient is φ = 673295155200.

The previous prime is 3442750634399. The next prime is 3442750634431. The reversal of 3442750634400 is 44360572443.

3442750634400 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2593671 + ... + 3689529.

It is an arithmetic number, because the mean of its divisors is an integer number (25682574960).

Almost surely, 2^{3442750634400} is an apocalyptic number.

3442750634400 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 3442750634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7396581588480).

3442750634400 is an abundant number, since it is smaller than the sum of its proper divisors (11350412542560).

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

3442750634400 is a wasteful number, since it uses less digits than its factorization.

3442750634400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095917 (or 1095904 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 42.

The spelling of 3442750634400 in words is "three trillion, four hundred forty-two billion, seven hundred fifty million, six hundred thirty-four thousand, four hundred".