379223964 has 192 divisors, whose sum is σ = 1253145600. Its totient is φ = 96546816.

The previous prime is 379223951. The next prime is 379223969. The reversal of 379223964 is 469322973.

379223964 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

379223964 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379223969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243412 + ... + 244964.

It is an arithmetic number, because the mean of its divisors is an integer number (6526800).

Almost surely, 2^379223964 is an apocalyptic number.

379223964 is a gapful number since it is divisible by the number (34) 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 379223964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626572800).

379223964 is an abundant number, since it is smaller than the sum of its proper divisors (873921636).

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

379223964 is a wasteful number, since it uses less digits than its factorization.

379223964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1601 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 379223964 is about 19473.6736133684. The cubic root of 379223964 is about 723.8222425136.

Subtracting 379223964 from its reverse (469322973), we obtain a palindrome (90099009).

The spelling of 379223964 in words is "three hundred seventy-nine million, two hundred twenty-three thousand, nine hundred sixty-four".