3407406740000 has 60 divisors (see below), whose sum is σ = 8382731740614. Its totient is φ = 1362962688000.

The previous prime is 3407406739993. The next prime is 3407406740009. The reversal of 3407406740000 is 476047043.

It can be written as a sum of positive squares in 5 ways, for example, as 739187344 + 3406667552656 = 27188^2 + 1845716^2 .

It is a super-2 number, since 2×3407406740000² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3407406740009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 85165169 + ... + 85205168.

Almost surely, 2^{3407406740000} is an apocalyptic number.

It is an amenable number.

3407406740000 is an abundant number, since it is smaller than the sum of its proper divisors (4975325000614).

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

3407406740000 is an equidigital number, since it uses as much as digits as its factorization.

3407406740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170370367 (or 170370344 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 35.

The spelling of 3407406740000 in words is "three trillion, four hundred seven billion, four hundred six million, seven hundred forty thousand".