379082031840 has 576 divisors, whose sum is σ = 1377980577792. Its totient is φ = 94730342400.

The previous prime is 379082031827. The next prime is 379082031841. The reversal of 379082031840 is 48130280973.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379082031841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 467425035 + ... + 467425845.

It is an arithmetic number, because the mean of its divisors is an integer number (2392327392).

Almost surely, 2^379082031840 is an apocalyptic number.

379082031840 is a gapful number since it is divisible by the number (30) 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 379082031840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688990288896).

379082031840 is an abundant number, since it is smaller than the sum of its proper divisors (998898545952).

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

379082031840 is a wasteful number, since it uses less digits than its factorization.

379082031840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 379082031840 in words is "three hundred seventy-nine billion, eighty-two million, thirty-one thousand, eight hundred forty".