3340640771400 has 96 divisors (see below), whose sum is σ = 10358450007840. Its totient is φ = 890625615360.

The previous prime is 3340640771393. The next prime is 3340640771437. The reversal of 3340640771400 is 41770460433.

3340640771400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3340640771400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1870047 + ... + 3190353.

It is an arithmetic number, because the mean of its divisors is an integer number (107900520915).

Almost surely, 2^{3340640771400} is an apocalyptic number.

3340640771400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3340640771400 is an abundant number, since it is smaller than the sum of its proper divisors (7017809236440).

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

3340640771400 is a wasteful number, since it uses less digits than its factorization.

3340640771400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324543 (or 1324534 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The spelling of 3340640771400 in words is "three trillion, three hundred forty billion, six hundred forty million, seven hundred seventy-one thousand, four hundred".