3670007040400 has 60 divisors (see below), whose sum is σ = 8817556836052. Its totient is φ = 1467942059520.

The previous prime is 3670007040347. The next prime is 3670007040449. The reversal of 3670007040400 is 40407000763.

It can be written as a sum of positive squares in 6 ways, for example, as 9121778064 + 3660885262336 = 95508^2 + 1913344^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10196302 + ... + 10550098.

Almost surely, 2^{3670007040400} is an apocalyptic number.

It is an amenable number.

3670007040400 is an abundant number, since it is smaller than the sum of its proper divisors (5147549795652).

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

3670007040400 is a wasteful number, since it uses less digits than its factorization.

3670007040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379748 (or 379737 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The spelling of 3670007040400 in words is "three trillion, six hundred seventy billion, seven million, forty thousand, four hundred".