3876762240 has 384 divisors, whose sum is σ = 15050206080. Its totient is φ = 912384000.

The previous prime is 3876762199. The next prime is 3876762269. The reversal of 3876762240 is 422676783.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1721115 + ... + 1723365.

It is an arithmetic number, because the mean of its divisors is an integer number (39193245).

Almost surely, 2^3876762240 is an apocalyptic number.

3876762240 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 3876762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7525103040).

3876762240 is an abundant number, since it is smaller than the sum of its proper divisors (11173443840).

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

3876762240 is a wasteful number, since it uses less digits than its factorization.

3876762240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 3876762240 is about 62263.6510333276. The cubic root of 3876762240 is about 1570.9283919018.

The spelling of 3876762240 in words is "three billion, eight hundred seventy-six million, seven hundred sixty-two thousand, two hundred forty".