379550632032 has 720 divisors, whose sum is σ = 1328227129152. Its totient is φ = 105395696640.

The previous prime is 379550632031. The next prime is 379550632037. The reversal of 379550632032 is 230236055973.

379550632032 is a `hidden beast` number, since 3 + 7 + 9 + 5 + 5 + 0 + 632 + 0 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379550632031) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1093805683 + ... + 1093806029.

Almost surely, 2^379550632032 is an apocalyptic number.

379550632032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379550632032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664113564576).

379550632032 is an abundant number, since it is smaller than the sum of its proper divisors (948676497120).

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

379550632032 is a wasteful number, since it uses less digits than its factorization.

379550632032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 379550632032 in words is "three hundred seventy-nine billion, five hundred fifty million, six hundred thirty-two thousand, thirty-two".