3781140480 has 448 divisors, whose sum is σ = 14532376320. Its totient is φ = 927203328.

The previous prime is 3781140443. The next prime is 3781140481. The reversal of 3781140480 is 840411873.

3781140480 is a `hidden beast` number, since 37 + 8 + 1 + 140 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3781140481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14376829 + ... + 14377091.

It is an arithmetic number, because the mean of its divisors is an integer number (32438340).

Almost surely, 2^3781140480 is an apocalyptic number.

3781140480 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 3781140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7266188160).

3781140480 is an abundant number, since it is smaller than the sum of its proper divisors (10751235840).

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

3781140480 is a wasteful number, since it uses less digits than its factorization.

3781140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 3781140480 is about 61490.9788505599. The cubic root of 3781140480 is about 1557.9048797669.

The spelling of 3781140480 in words is "three billion, seven hundred eighty-one million, one hundred forty thousand, four hundred eighty".