3877253280 has 72 divisors (see below), whose sum is σ = 13231131732. Its totient is φ = 1033933824.

The previous prime is 3877253249. The next prime is 3877253287. The reversal of 3877253280 is 823527783.

3877253280 is a `hidden beast` number, since 38 + 7 + 7 + 2 + 532 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3717584784 + 159668496 = 60972^2 + 12636^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (3877253287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1344829 + ... + 1347708.

Almost surely, 2^3877253280 is an apocalyptic number.

3877253280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3877253280 is an abundant number, since it is smaller than the sum of its proper divisors (9353878452).

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

3877253280 is a wasteful number, since it uses less digits than its factorization.

3877253280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692558 (or 2692547 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 3877253280 is about 62267.5941401304. The cubic root of 3877253280 is about 1570.9947149539.

The spelling of 3877253280 in words is "three billion, eight hundred seventy-seven million, two hundred fifty-three thousand, two hundred eighty".