3444928123392 has 480 divisors, whose sum is σ = 11800176740352. Its totient is φ = 982869479424.

The previous prime is 3444928123387. The next prime is 3444928123451. The reversal of 3444928123392 is 2933218294443.

3444928123392 is a `hidden beast` number, since 3 + 4 + 4 + 49 + 281 + 233 + 92 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 720241833 + ... + 720246615.

Almost surely, 2^{3444928123392} is an apocalyptic number.

3444928123392 is a gapful number since it is divisible by the number (32) 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 3444928123392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5900088370176).

3444928123392 is an abundant number, since it is smaller than the sum of its proper divisors (8355248616960).

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

3444928123392 is an frugal number, since it uses more digits than its factorization.

3444928123392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5650 (or 5622 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 3444928123392 in words is "three trillion, four hundred forty-four billion, nine hundred twenty-eight million, one hundred twenty-three thousand, three hundred ninety-two".