3349632040000 has 105 divisors (see below), whose sum is σ = 8306906588211. Its totient is φ = 1339706400000.

The previous prime is 3349632039997. The next prime is 3349632040033. The reversal of 3349632040000 is 402369433.

The square root of 3349632040000 is 1830200.

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

It can be written as a sum of positive squares in 2 ways, for example, as 262611151936 + 3087020888064 = 512456^2 + 1756992^2 .

It is a super-2 number, since 2×3349632040000² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 366035425 + ... + 366044575.

Almost surely, 2^{3349632040000} is an apocalyptic number.

3349632040000 is the 1830200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3349632040000

3349632040000 is an abundant number, since it is smaller than the sum of its proper divisors (4957274548211).

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

3349632040000 is an frugal number, since it uses more digits than its factorization.

3349632040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18334 (or 9158 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 34.

The spelling of 3349632040000 in words is "three trillion, three hundred forty-nine billion, six hundred thirty-two million, forty thousand".