379335840 has 384 divisors, whose sum is σ = 1389975552. Its totient is φ = 86261760.

The previous prime is 379335829. The next prime is 379335851. The reversal of 379335840 is 48533973.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (379335829) and next prime (379335851).

It is a junction number, because it is equal to n+sod(n) for n = 379335792 and 379335801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7157254 + ... + 7157306.

It is an arithmetic number, because the mean of its divisors is an integer number (3619728).

Almost surely, 2^379335840 is an apocalyptic number.

379335840 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 379335840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694987776).

379335840 is an abundant number, since it is smaller than the sum of its proper divisors (1010639712).

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

379335840 is a wasteful number, since it uses less digits than its factorization.

379335840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 379335840 is about 19476.5458949989. The cubic root of 379335840 is about 723.8934145060.

The spelling of 379335840 in words is "three hundred seventy-nine million, three hundred thirty-five thousand, eight hundred forty".