3712001283840 has 288 divisors, whose sum is σ = 12137286389760. Its totient is φ = 966418071552.

The previous prime is 3712001283821. The next prime is 3712001283847. The reversal of 3712001283840 is 483821002173.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3712001283847) 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 31 ways as a sum of consecutive naturals, for example, 73791177 + ... + 73841463.

It is an arithmetic number, because the mean of its divisors is an integer number (42143355520).

Almost surely, 2^{3712001283840} is an apocalyptic number.

3712001283840 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 3712001283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6068643194880).

3712001283840 is an abundant number, since it is smaller than the sum of its proper divisors (8425285105920).

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

3712001283840 is a wasteful number, since it uses less digits than its factorization.

3712001283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50767 (or 50753 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 3712001283840 in words is "three trillion, seven hundred twelve billion, one million, two hundred eighty-three thousand, eight hundred forty".