3814789680 has 360 divisors, whose sum is σ = 14050069488. Its totient is φ = 927074304.

The previous prime is 3814789673. The next prime is 3814789703. The reversal of 3814789680 is 869874183.

3814789680 is a `hidden beast` number, since 3 + 8 + 1 + 478 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13019614 + ... + 13019906.

Almost surely, 2^3814789680 is an apocalyptic number.

3814789680 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 3814789680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7025034744).

3814789680 is an abundant number, since it is smaller than the sum of its proper divisors (10235279808).

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

3814789680 is a wasteful number, since it uses less digits than its factorization.

3814789680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 3814789680 is about 61763.9836798113. The cubic root of 3814789680 is about 1562.5126175408.

The spelling of 3814789680 in words is "three billion, eight hundred fourteen million, seven hundred eighty-nine thousand, six hundred eighty".