378803880 has 384 divisors, whose sum is σ = 1568286720. Its totient is φ = 77137920.

The previous prime is 378803837. The next prime is 378803903. The reversal of 378803880 is 88308873.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1015374 + ... + 1015746.

It is an arithmetic number, because the mean of its divisors is an integer number (4084080).

Almost surely, 2^378803880 is an apocalyptic number.

378803880 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 378803880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784143360).

378803880 is an abundant number, since it is smaller than the sum of its proper divisors (1189482840).

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

378803880 is a wasteful number, since it uses less digits than its factorization.

378803880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 378803880 is about 19462.8846782793. The cubic root of 378803880 is about 723.5548732569.

It can be divided in two parts, 3 and 78803880, that multiplied together give a triangular number (236411640 = T₂₁₇₄₄).

The spelling of 378803880 in words is "three hundred seventy-eight million, eight hundred three thousand, eight hundred eighty".