3881364480 has 660 divisors, whose sum is σ = 16264119168. Its totient is φ = 882524160.

The previous prime is 3881364457. The next prime is 3881364533. The reversal of 3881364480 is 844631883.

3881364480 is a `hidden beast` number, since 38 + 8 + 136 + 4 + 480 = 666.

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 59 ways as a sum of consecutive naturals, for example, 20321185 + ... + 20321375.

Almost surely, 2^3881364480 is an apocalyptic number.

3881364480 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 3881364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8132059584).

3881364480 is an abundant number, since it is smaller than the sum of its proper divisors (12382754688).

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

3881364480 is a wasteful number, since it uses less digits than its factorization.

3881364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 3881364480 is about 62300.5977499414. The cubic root of 3881364480 is about 1571.5497807489.

The spelling of 3881364480 in words is "three billion, eight hundred eighty-one million, three hundred sixty-four thousand, four hundred eighty".