3701313000 has 768 divisors, whose sum is σ = 16061760000. Its totient is φ = 762048000.

The previous prime is 3701312987. The next prime is 3701313001. The reversal of 3701313000 is 3131073.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3701313001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33956946 + ... + 33957054.

It is an arithmetic number, because the mean of its divisors is an integer number (20913750).

Almost surely, 2^3701313000 is an apocalyptic number.

3701313000 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 3701313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8030880000).

3701313000 is an abundant number, since it is smaller than the sum of its proper divisors (12360447000).

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

3701313000 is a wasteful number, since it uses less digits than its factorization.

3701313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 18.

The square root of 3701313000 is about 60838.4171391728. The cubic root of 3701313000 is about 1546.8633063089.

Adding to 3701313000 its reverse (3131073), we get a palindrome (3704444073).

The spelling of 3701313000 in words is "three billion, seven hundred one million, three hundred thirteen thousand".