3374704640400 has 120 divisors (see below), whose sum is σ = 10811482854144. Its totient is φ = 899823091200.

The previous prime is 3374704640387. The next prime is 3374704640401. The reversal of 3374704640400 is 40464074733.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3374704640400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3374704640401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11204577 + ... + 11501823.

Almost surely, 2^{3374704640400} is an apocalyptic number.

3374704640400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3374704640400 is an abundant number, since it is smaller than the sum of its proper divisors (7436778213744).

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

3374704640400 is a wasteful number, since it uses less digits than its factorization.

3374704640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306729 (or 306718 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 42.

It can be divided in two parts, 3374704 and 640400, that added together give a palindrome (4015104).

The spelling of 3374704640400 in words is "three trillion, three hundred seventy-four billion, seven hundred four million, six hundred forty thousand, four hundred".