3444682982400 has 990 divisors, whose sum is σ = 14021261368730. Its totient is φ = 835013836800.

The previous prime is 3444682982399. The next prime is 3444682982413. The reversal of 3444682982400 is 42892864443.

It is a happy number.

3444682982400 is a `hidden beast` number, since 3 + 4 + 446 + 82 + 9 + 82 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 114904728576 + 3329778253824 = 338976^2 + 1824768^2 .

It is a tau number, because it is divible by the number of its divisors (990).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 250898736 + ... + 250912464.

Almost surely, 2^{3444682982400} is an apocalyptic number.

3444682982400 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 3444682982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7010630684365).

3444682982400 is an abundant number, since it is smaller than the sum of its proper divisors (10576578386330).

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

3444682982400 is a wasteful number, since it uses less digits than its factorization.

3444682982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13793 (or 13750 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 3444682982400 in words is "three trillion, four hundred forty-four billion, six hundred eighty-two million, nine hundred eighty-two thousand, four hundred".