378719040 has 336 divisors, whose sum is σ = 1430194752. Its totient is φ = 84639744.

The previous prime is 378718999. The next prime is 378719051. The reversal of 378719040 is 40917873.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×378719040² = 286856222517043200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 378719040.

It is a congruent number.

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, 3904272 + ... + 3904368.

It is an arithmetic number, because the mean of its divisors is an integer number (4256532).

Almost surely, 2^378719040 is an apocalyptic number.

378719040 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 378719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715097376).

378719040 is an abundant number, since it is smaller than the sum of its proper divisors (1051475712).

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

378719040 is a wasteful number, since it uses less digits than its factorization.

378719040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 378719040 is about 19460.7050232000. The cubic root of 378719040 is about 723.5008514775.

The spelling of 378719040 in words is "three hundred seventy-eight million, seven hundred nineteen thousand, forty".