3712120048 has 180 divisors, whose sum is σ = 9334636920. Its totient is φ = 1417409280.

The previous prime is 3712120043. The next prime is 3712120091. The reversal of 3712120048 is 8400212173.

3712120048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3712119998 and 3712120025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3712120043) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9794323 + ... + 9794701.

It is an arithmetic number, because the mean of its divisors is an integer number (51859094).

Almost surely, 2^3712120048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3712120048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4667318460).

3712120048 is an abundant number, since it is smaller than the sum of its proper divisors (5622516872).

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

3712120048 is a wasteful number, since it uses less digits than its factorization.

3712120048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 3712120048 is about 60927.1700311117. The cubic root of 3712120048 is about 1548.3673475582.

The spelling of 3712120048 in words is "three billion, seven hundred twelve million, one hundred twenty thousand, forty-eight".