3877735680 has 864 divisors, whose sum is σ = 17249266944. Its totient is φ = 812187648.

The previous prime is 3877735663. The next prime is 3877735699. The reversal of 3877735680 is 865377783.

3877735680 is a `hidden beast` number, since 3 + 8 + 7 + 7 + 73 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28304572 + ... + 28304708.

Almost surely, 2^3877735680 is an apocalyptic number.

3877735680 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 3877735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8624633472).

3877735680 is an abundant number, since it is smaller than the sum of its proper divisors (13371531264).

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

3877735680 is a wasteful number, since it uses less digits than its factorization.

3877735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The square root of 3877735680 is about 62271.4676236236. The cubic root of 3877735680 is about 1571.0598655788.

The spelling of 3877735680 in words is "three billion, eight hundred seventy-seven million, seven hundred thirty-five thousand, six hundred eighty".