379409903712 has 576 divisors, whose sum is σ = 1352475532800. Its totient is φ = 101243520000.

The previous prime is 379409903699. The next prime is 379409903713. The reversal of 379409903712 is 217309904973.

It is a super-2 number, since 2×379409903712² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379409903713) 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 95 ways as a sum of consecutive naturals, for example, 168550587 + ... + 168552837.

It is an arithmetic number, because the mean of its divisors is an integer number (2348047800).

Almost surely, 2^379409903712 is an apocalyptic number.

379409903712 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 379409903712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676237766400).

379409903712 is an abundant number, since it is smaller than the sum of its proper divisors (973065629088).

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

379409903712 is a wasteful number, since it uses less digits than its factorization.

379409903712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 379409903712 in words is "three hundred seventy-nine billion, four hundred nine million, nine hundred three thousand, seven hundred twelve".