3344070542400 has 945 divisors, whose sum is σ = 13910454970373. Its totient is φ = 761901235200.

The previous prime is 3344070542387. The next prime is 3344070542413. The reversal of 3344070542400 is 42450704433.

The square root of 3344070542400 is 1828680.

It is a perfect power (a square), and thus also a powerful number.

3344070542400 is a `hidden beast` number, since 3 + 3 + 4 + 4 + 0 + 70 + 542 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3344070542387) and next prime (3344070542413).

It can be written as a sum of positive squares in only one way, i.e., 1203865395264 + 2140205147136 = 1097208^2 + 1462944^2 .

It is a super-2 number, since 2×3344070542400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 10752638245 + ... + 10752638555.

Almost surely, 2^{3344070542400} is an apocalyptic number.

3344070542400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3344070542400 is the 1828680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3344070542400

3344070542400 is an abundant number, since it is smaller than the sum of its proper divisors (10566384427973).

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

3344070542400 is an frugal number, since it uses more digits than its factorization.

3344070542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

Multiplying 3344070542400 by its sum of digits (36), we get a square (120386539526400 = 10972080²).

3344070542400 divided by its sum of digits (36) gives a square (92890848400 = 304780²).

The spelling of 3344070542400 in words is "three trillion, three hundred forty-four billion, seventy million, five hundred forty-two thousand, four hundred".