376001353728 has 768 divisors, whose sum is σ = 1495680076800. Its totient is φ = 90136903680.

The previous prime is 376001353723. The next prime is 376001353757. The reversal of 376001353728 is 827353100673.

376001353728 is a `hidden beast` number, since 3 + 7 + 600 + 1 + 3 + 5 + 37 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376001353723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55347900 + ... + 55354692.

It is an arithmetic number, because the mean of its divisors is an integer number (1947500100).

Almost surely, 2^376001353728 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 376001353728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747840038400).

376001353728 is an abundant number, since it is smaller than the sum of its proper divisors (1119678723072).

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

376001353728 is a wasteful number, since it uses less digits than its factorization.

376001353728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6855 (or 6829 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 376001353728 in words is "three hundred seventy-six billion, one million, three hundred fifty-three thousand, seven hundred twenty-eight".