3792353149728 has 1440 divisors, whose sum is σ = 13709839385088. Its totient is φ = 1020848209920.

The previous prime is 3792353149727. The next prime is 3792353149733. The reversal of 3792353149728 is 8279413532973.

3792353149728 is a `hidden beast` number, since 3 + 7 + 9 + 2 + 3 + 531 + 4 + 97 + 2 + 8 = 666.

Its product of digits (68584320) is a multiple of the sum of its prime divisors (392).

It is not an unprimeable number, because it can be changed into a prime (3792353149727) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17006067825 + ... + 17006068047.

Almost surely, 2^{3792353149728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3792353149728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854919692544).

3792353149728 is an abundant number, since it is smaller than the sum of its proper divisors (9917486235360).

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

3792353149728 is a wasteful number, since it uses less digits than its factorization.

3792353149728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 392 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 3792353149728 in words is "three trillion, seven hundred ninety-two billion, three hundred fifty-three million, one hundred forty-nine thousand, seven hundred twenty-eight".