3534444093600 has 1152 divisors, whose sum is σ = 15228785295360. Its totient is φ = 774116352000.

The previous prime is 3534444093553. The next prime is 3534444093611. The reversal of 3534444093600 is 63904444353.

3534444093600 is a `hidden beast` number, since 3 + 5 + 34 + 4 + 4 + 4 + 0 + 9 + 3 + 600 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 482777940 + ... + 482785260.

It is an arithmetic number, because the mean of its divisors is an integer number (13219431680).

Almost surely, 2^{3534444093600} is an apocalyptic number.

3534444093600 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 3534444093600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7614392647680).

3534444093600 is an abundant number, since it is smaller than the sum of its proper divisors (11694341201760).

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

3534444093600 is a wasteful number, since it uses less digits than its factorization.

3534444093600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7491 (or 7472 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 3534444093600 in words is "three trillion, five hundred thirty-four billion, four hundred forty-four million, ninety-three thousand, six hundred".