3782045639200 has 72 divisors (see below), whose sum is σ = 9233749502208. Its totient is φ = 1512682164480.

The previous prime is 3782045639167. The next prime is 3782045639209. The reversal of 3782045639200 is 29365402873.

It is not an unprimeable number, because it can be changed into a prime (3782045639209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8931469 + ... + 9345331.

It is an arithmetic number, because the mean of its divisors is an integer number (128246520864).

Almost surely, 2^{3782045639200} is an apocalyptic number.

It is an amenable number.

3782045639200 is an abundant number, since it is smaller than the sum of its proper divisors (5451703863008).

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

3782045639200 is a wasteful number, since it uses less digits than its factorization.

3782045639200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425306 (or 425293 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 3782045639200 in words is "three trillion, seven hundred eighty-two billion, forty-five million, six hundred thirty-nine thousand, two hundred".