3713514000 has 480 divisors, whose sum is σ = 14766126336. Its totient is φ = 797798400.

The previous prime is 3713513989. The next prime is 3713514001. The reversal of 3713514000 is 4153173.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3713514001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4997629 + ... + 4998371.

Almost surely, 2^3713514000 is an apocalyptic number.

3713514000 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 3713514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7383063168).

3713514000 is an abundant number, since it is smaller than the sum of its proper divisors (11052612336).

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

3713514000 is a wasteful number, since it uses less digits than its factorization.

3713514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 3713514000 is about 60938.6084514571. The cubic root of 3713514000 is about 1548.5611343634.

Adding to 3713514000 its reverse (4153173), we get a palindrome (3717667173).

The spelling of 3713514000 in words is "three billion, seven hundred thirteen million, five hundred fourteen thousand".