3891240000 has 350 divisors, whose sum is σ = 14425955654. Its totient is φ = 1036800000.

The previous prime is 3891239983. The next prime is 3891240049. The reversal of 3891240000 is 421983.

It can be written as a sum of positive squares in 5 ways, for example, as 2923781184 + 967458816 = 54072^2 + 31104^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 3239400 + ... + 3240600.

Almost surely, 2^3891240000 is an apocalyptic number.

3891240000 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 3891240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7212977827).

3891240000 is an abundant number, since it is smaller than the sum of its proper divisors (10534715654).

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

3891240000 is an equidigital number, since it uses as much as digits as its factorization.

3891240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3891240000 is about 62379.8044241884. The cubic root of 3891240000 is about 1572.8815054832.

Adding to 3891240000 its reverse (421983), we get a palindrome (3891661983).

The spelling of 3891240000 in words is "three billion, eight hundred ninety-one million, two hundred forty thousand".