378008064 has 120 divisors (see below), whose sum is σ = 1246914240. Its totient is φ = 107993088.

The previous prime is 378008051. The next prime is 378008077. The reversal of 378008064 is 460800873.

It is an interprime number because it is at equal distance from previous prime (378008051) and next prime (378008077).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26397 + ... + 38115.

It is an arithmetic number, because the mean of its divisors is an integer number (10390952).

Almost surely, 2^378008064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378008064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623457120).

378008064 is an abundant number, since it is smaller than the sum of its proper divisors (868906176).

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

378008064 is a wasteful number, since it uses less digits than its factorization.

378008064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11750 (or 11731 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 378008064 is about 19442.4294778199. The cubic root of 378008064 is about 723.0478208528.

The spelling of 378008064 in words is "three hundred seventy-eight million, eight thousand, sixty-four".