3778941540 has 192 divisors, whose sum is σ = 12543713280. Its totient is φ = 839808000.

The previous prime is 3778941539. The next prime is 3778941581. The reversal of 3778941540 is 451498773.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3778941540.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 383880 + ... + 393600.

It is an arithmetic number, because the mean of its divisors is an integer number (65331840).

Almost surely, 2^3778941540 is an apocalyptic number.

3778941540 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 3778941540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6271856640).

3778941540 is an abundant number, since it is smaller than the sum of its proper divisors (8764771740).

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

3778941540 is a wasteful number, since it uses less digits than its factorization.

3778941540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9794 (or 9792 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 3778941540 is about 61473.0960664907. The cubic root of 3778941540 is about 1557.6028189051.

The spelling of 3778941540 in words is "three billion, seven hundred seventy-eight million, nine hundred forty-one thousand, five hundred forty".