3701013120 has 960 divisors, whose sum is σ = 16208501760. Its totient is φ = 801239040.

The previous prime is 3701013083. The next prime is 3701013131. The reversal of 3701013120 is 213101073.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×3701013120² = 27394996228824268800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3701013093 and 3701013102.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 78744937 + ... + 78744983.

It is an arithmetic number, because the mean of its divisors is an integer number (16883856).

Almost surely, 2^3701013120 is an apocalyptic number.

3701013120 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 3701013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8104250880).

3701013120 is an abundant number, since it is smaller than the sum of its proper divisors (12507488640).

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

3701013120 is a wasteful number, since it uses less digits than its factorization.

3701013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 3701013120 is about 60835.9525280898. The cubic root of 3701013120 is about 1546.8215296118.

Adding to 3701013120 its reverse (213101073), we get a palindrome (3914114193).

The spelling of 3701013120 in words is "three billion, seven hundred one million, thirteen thousand, one hundred twenty".