378267540 has 96 divisors (see below), whose sum is σ = 1213035264. Its totient is φ = 86277120.

The previous prime is 378267509. The next prime is 378267553. The reversal of 378267540 is 45762873.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 378267492 and 378267501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344272 + ... + 345368.

It is an arithmetic number, because the mean of its divisors is an integer number (12635784).

Almost surely, 2^378267540 is an apocalyptic number.

378267540 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 378267540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606517632).

378267540 is an abundant number, since it is smaller than the sum of its proper divisors (834767724).

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

378267540 is a wasteful number, since it uses less digits than its factorization.

378267540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 378267540 is about 19449.1012645829. The cubic root of 378267540 is about 723.2132235367.

The spelling of 378267540 in words is "three hundred seventy-eight million, two hundred sixty-seven thousand, five hundred forty".