379684765440 has 720 divisors, whose sum is σ = 1434380270400. Its totient is φ = 95705432064.

The previous prime is 379684765381. The next prime is 379684765469. The reversal of 379684765440 is 44567486973.

It is a happy number.

379684765440 is a `hidden beast` number, since 3 + 7 + 9 + 6 + 84 + 7 + 6 + 544 + 0 = 666.

379684765440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×379684765440² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 212232066 + ... + 212233854.

It is an arithmetic number, because the mean of its divisors is an integer number (1992194820).

Almost surely, 2^379684765440 is an apocalyptic number.

379684765440 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 379684765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717190135200).

379684765440 is an abundant number, since it is smaller than the sum of its proper divisors (1054695504960).

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

379684765440 is a wasteful number, since it uses less digits than its factorization.

379684765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 379684765440 in words is "three hundred seventy-nine billion, six hundred eighty-four million, seven hundred sixty-five thousand, four hundred forty".