3405427344400 has 45 divisors (see below), whose sum is σ = 8181627866391. Its totient is φ = 1362156174720.

The previous prime is 3405427344383. The next prime is 3405427344427. The reversal of 3405427344400 is 44437245043.

It is a happy number.

The square root of 3405427344400 is 1845380.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1440316817424 + 1965110526976 = 1200132^2 + 1401824^2 .

It is a super-2 number, since 2×3405427344400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36861466 + ... + 36953734.

Almost surely, 2^{3405427344400} is an apocalyptic number.

3405427344400 is the 1845380-th square number.

It is an amenable number.

3405427344400 is an abundant number, since it is smaller than the sum of its proper divisors (4776200521991).

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

3405427344400 is an frugal number, since it uses more digits than its factorization.

3405427344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184556 (or 92276 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 40.

The spelling of 3405427344400 in words is "three trillion, four hundred five billion, four hundred twenty-seven million, three hundred forty-four thousand, four hundred".