379386084000 has 1536 divisors, whose sum is σ = 1617304485888. Its totient is φ = 75479040000.

The previous prime is 379386083977. The next prime is 379386084101. The reversal of 379386084000 is 480683973.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2987291937 + ... + 2987292063.

It is an arithmetic number, because the mean of its divisors is an integer number (1052932608).

Almost surely, 2^379386084000 is an apocalyptic number.

379386084000 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 379386084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808652242944).

379386084000 is an abundant number, since it is smaller than the sum of its proper divisors (1237918401888).

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

379386084000 is a wasteful number, since it uses less digits than its factorization.

379386084000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 379386084000 in words is "three hundred seventy-nine billion, three hundred eighty-six million, eighty-four thousand".