378211680 has 480 divisors, whose sum is σ = 1668522240. Its totient is φ = 78382080.

The previous prime is 378211667. The next prime is 378211709. The reversal of 378211680 is 86112873.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 997731 + ... + 998109.

It is an arithmetic number, because the mean of its divisors is an integer number (3476088).

Almost surely, 2^378211680 is an apocalyptic number.

378211680 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 378211680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834261120).

378211680 is an abundant number, since it is smaller than the sum of its proper divisors (1290310560).

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

378211680 is a wasteful number, since it uses less digits than its factorization.

378211680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 378211680 is about 19447.6651554885. The cubic root of 378211680 is about 723.1776220332.

The spelling of 378211680 in words is "three hundred seventy-eight million, two hundred eleven thousand, six hundred eighty".