382779072 has 336 divisors, whose sum is σ = 1304739072. Its totient is φ = 106168320.

The previous prime is 382779053. The next prime is 382779101. The reversal of 382779072 is 270977283.

It is a super-2 number, since 2×382779072² = 293039635922362368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3946128 + ... + 3946224.

It is an arithmetic number, because the mean of its divisors is an integer number (3883152).

Almost surely, 2^382779072 is an apocalyptic number.

382779072 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 382779072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652369536).

382779072 is an abundant number, since it is smaller than the sum of its proper divisors (921960000).

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

382779072 is a wasteful number, since it uses less digits than its factorization.

382779072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 382779072 is about 19564.7405298409. The cubic root of 382779072 is about 726.0770812678.

The spelling of 382779072 in words is "three hundred eighty-two million, seven hundred seventy-nine thousand, seventy-two".