378351540 has 288 divisors, whose sum is σ = 1394265600. Its totient is φ = 84913920.

The previous prime is 378351521. The next prime is 378351557. The reversal of 378351540 is 45153873.

378351540 is a `hidden beast` number, since 37 + 83 + 5 + 1 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 378351495 and 378351504.

It is a congruent number.

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, 2090250 + ... + 2090430.

It is an arithmetic number, because the mean of its divisors is an integer number (4841200).

Almost surely, 2^378351540 is an apocalyptic number.

378351540 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 378351540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697132800).

378351540 is an abundant number, since it is smaller than the sum of its proper divisors (1015914060).

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

378351540 is a wasteful number, since it uses less digits than its factorization.

378351540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 378351540 is about 19451.2606275275. The cubic root of 378351540 is about 723.2667530346.

The spelling of 378351540 in words is "three hundred seventy-eight million, three hundred fifty-one thousand, five hundred forty".