3371703888400 has 45 divisors (see below), whose sum is σ = 8100606823213. Its totient is φ = 1348666865600.

The previous prime is 3371703888389. The next prime is 3371703888407. The reversal of 3371703888400 is 48883071733.

The square root of 3371703888400 is 1836220.

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

It can be written as a sum of positive squares in only one way, i.e., 1213813399824 + 2157890488576 = 1101732^2 + 1468976^2 .

It is a super-2 number, since 2×3371703888400² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3371703888407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36678495 + ... + 36770305.

Almost surely, 2^{3371703888400} is an apocalyptic number.

3371703888400 is the 1836220-th square number.

It is an amenable number.

3371703888400 is an abundant number, since it is smaller than the sum of its proper divisors (4728902934813).

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

3371703888400 is an frugal number, since it uses more digits than its factorization.

3371703888400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183640 (or 91818 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 3371703888400 in words is "three trillion, three hundred seventy-one billion, seven hundred three million, eight hundred eighty-eight thousand, four hundred".