3781608480 has 288 divisors, whose sum is σ = 14503297536. Its totient is φ = 890284032.

The previous prime is 3781608463. The next prime is 3781608491. The reversal of 3781608480 is 848061873.

3781608480 is a `hidden beast` number, since 3 + 7 + 8 + 160 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 426169 + ... + 434951.

It is an arithmetic number, because the mean of its divisors is an integer number (50358672).

Almost surely, 2^3781608480 is an apocalyptic number.

3781608480 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 3781608480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7251648768).

3781608480 is an abundant number, since it is smaller than the sum of its proper divisors (10721689056).

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

3781608480 is a wasteful number, since it uses less digits than its factorization.

3781608480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8840 (or 8829 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 3781608480 is about 61494.7841690659. The cubic root of 3781608480 is about 1557.9691522096.

The spelling of 3781608480 in words is "three billion, seven hundred eighty-one million, six hundred eight thousand, four hundred eighty".