3877654320 has 120 divisors (see below), whose sum is σ = 13144422096. Its totient is φ = 1024356864.

The previous prime is 3877654309. The next prime is 3877654331. The reversal of 3877654320 is 234567783.

3877654320 is a `hidden beast` number, since 3 + 87 + 7 + 6 + 543 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3877654309) and next prime (3877654331).

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 51874 + ... + 102206.

Almost surely, 2^3877654320 is an apocalyptic number.

3877654320 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 3877654320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6572211048).

3877654320 is an abundant number, since it is smaller than the sum of its proper divisors (9266767776).

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

3877654320 is a wasteful number, since it uses less digits than its factorization.

3877654320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50459 (or 50450 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 3877654320 is about 62270.8143515082. The cubic root of 3877654320 is about 1571.0488778671.

It can be divided in two parts, 38776 and 54320, that added together give a triangular number (93096 = T₄₃₁).

The spelling of 3877654320 in words is "three billion, eight hundred seventy-seven million, six hundred fifty-four thousand, three hundred twenty".