3781243140480 has 768 divisors, whose sum is σ = 14664278341440. Its totient is φ = 925535600640.

The previous prime is 3781243140407. The next prime is 3781243140497. The reversal of 3781243140480 is 840413421873.

3781243140480 is a `hidden beast` number, since 3 + 7 + 8 + 1 + 24 + 3 + 140 + 480 = 666.

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

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, 365933394 + ... + 365943726.

Almost surely, 2^{3781243140480} is an apocalyptic number.

3781243140480 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 3781243140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7332139170720).

3781243140480 is an abundant number, since it is smaller than the sum of its proper divisors (10883035200960).

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

3781243140480 is a wasteful number, since it uses less digits than its factorization.

3781243140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10561 (or 10537 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 3781243140480 in words is "three trillion, seven hundred eighty-one billion, two hundred forty-three million, one hundred forty thousand, four hundred eighty".