379542240 has 576 divisors, whose sum is σ = 1696101120. Its totient is φ = 78382080.

The previous prime is 379542217. The next prime is 379542259. The reversal of 379542240 is 42245973.

379542240 is a `hidden beast` number, since 3 + 79 + 542 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 379542195 and 379542204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2328399 + ... + 2328561.

It is an arithmetic number, because the mean of its divisors is an integer number (2944620).

Almost surely, 2^379542240 is an apocalyptic number.

379542240 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 379542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848050560).

379542240 is an abundant number, since it is smaller than the sum of its proper divisors (1316558880).

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

379542240 is a wasteful number, since it uses less digits than its factorization.

379542240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 379542240 is about 19481.8438552412. The cubic root of 379542240 is about 724.0246829797.

The spelling of 379542240 in words is "three hundred seventy-nine million, five hundred forty-two thousand, two hundred forty".