378416070 has 128 divisors (see below), whose sum is σ = 1078272000. Its totient is φ = 94227840.

The previous prime is 378416069. The next prime is 378416089. The reversal of 378416070 is 70614873.

378416070 is a `hidden beast` number, since 3 + 7 + 8 + 41 + 607 + 0 = 666.

It is a congruent number.

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, 241951 + ... + 243509.

It is an arithmetic number, because the mean of its divisors is an integer number (8424000).

Almost surely, 2^378416070 is an apocalyptic number.

378416070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 378416070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539136000).

378416070 is an abundant number, since it is smaller than the sum of its proper divisors (699855930).

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

378416070 is a wasteful number, since it uses less digits than its factorization.

378416070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 378416070 is about 19452.9193181898. The cubic root of 378416070 is about 723.3078697788.

The spelling of 378416070 in words is "three hundred seventy-eight million, four hundred sixteen thousand, seventy".