3784481148240 has 480 divisors, whose sum is σ = 14191217703936. Its totient is φ = 897527070720.

The previous prime is 3784481148233. The next prime is 3784481148281. The reversal of 3784481148240 is 428411844873.

It is a happy number.

3784481148240 is a `hidden beast` number, since 3 + 7 + 8 + 44 + 81 + 1 + 482 + 40 = 666.

It is a super-2 number, since 2×3784481148240² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65837592 + ... + 65895048.

Almost surely, 2^{3784481148240} is an apocalyptic number.

3784481148240 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 3784481148240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7095608851968).

3784481148240 is an abundant number, since it is smaller than the sum of its proper divisors (10406736555696).

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

3784481148240 is a wasteful number, since it uses less digits than its factorization.

3784481148240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57747 (or 57738 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 3784481148240 in words is "three trillion, seven hundred eighty-four billion, four hundred eighty-one million, one hundred forty-eight thousand, two hundred forty".