378290520 has 128 divisors (see below), whose sum is σ = 1301760000. Its totient is φ = 97614720.

The previous prime is 378290483. The next prime is 378290527. The reversal of 378290520 is 25092873.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378290527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27831 + ... + 39129.

It is an arithmetic number, because the mean of its divisors is an integer number (10170000).

Almost surely, 2^378290520 is an apocalyptic number.

378290520 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 378290520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650880000).

378290520 is an abundant number, since it is smaller than the sum of its proper divisors (923469480).

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

378290520 is a wasteful number, since it uses less digits than its factorization.

378290520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11350 (or 11340 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 378290520 is about 19449.6920284101. The cubic root of 378290520 is about 723.2278684653.

The spelling of 378290520 in words is "three hundred seventy-eight million, two hundred ninety thousand, five hundred twenty".