3781467840 has 224 divisors, whose sum is σ = 12248570880. Its totient is φ = 988286976.

The previous prime is 3781467803. The next prime is 3781467857. The reversal of 3781467840 is 487641873.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3781467840.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16512846 + ... + 16513074.

It is an arithmetic number, because the mean of its divisors is an integer number (54681120).

Almost surely, 2^3781467840 is an apocalyptic number.

3781467840 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 3781467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124285440).

3781467840 is an abundant number, since it is smaller than the sum of its proper divisors (8467103040).

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

3781467840 is a wasteful number, since it uses less digits than its factorization.

3781467840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The square root of 3781467840 is about 61493.6406468181. The cubic root of 3781467840 is about 1557.9498380739.

The spelling of 3781467840 in words is "three billion, seven hundred eighty-one million, four hundred sixty-seven thousand, eight hundred forty".