3872760000 has 280 divisors, whose sum is σ = 13045074240. Its totient is φ = 1013376000.

The previous prime is 3872759983. The next prime is 3872760019. The reversal of 3872760000 is 672783.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7079727 + ... + 7080273.

Almost surely, 2^3872760000 is an apocalyptic number.

3872760000 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 3872760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6522537120).

3872760000 is an abundant number, since it is smaller than the sum of its proper divisors (9172314240).

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

3872760000 is an equidigital number, since it uses as much as digits as its factorization.

3872760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 3872760000 is about 62231.5032760739. The cubic root of 3872760000 is about 1570.3876144114.

The spelling of 3872760000 in words is "three billion, eight hundred seventy-two million, seven hundred sixty thousand".