379269384480000 has 3240 divisors, whose sum is σ = 1657591596172512. Its totient is φ = 86209837056000.

The previous prime is 379269384479981. The next prime is 379269384480073. The reversal of 379269384480000 is 84483962973.

379269384480000 is a `hidden beast` number, since 3 + 7 + 92 + 69 + 3 + 8 + 4 + 480 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 379269384480000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 432462239562 + ... + 432462240438.

Almost surely, 2^{379269384480000} is an apocalyptic number.

379269384480000 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 379269384480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828795798086256).

379269384480000 is an abundant number, since it is smaller than the sum of its proper divisors (1278322211692512).

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

379269384480000 is an frugal number, since it uses more digits than its factorization.

379269384480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 379269384480000 in words is "three hundred seventy-nine trillion, two hundred sixty-nine billion, three hundred eighty-four million, four hundred eighty thousand".