3672151128 has 192 divisors, whose sum is σ = 10905523200. Its totient is φ = 1111968000.

The previous prime is 3672151123. The next prime is 3672151211. The reversal of 3672151128 is 8211512763.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3672151092 and 3672151101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672151123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5555118 + ... + 5555778.

It is an arithmetic number, because the mean of its divisors is an integer number (56799600).

Almost surely, 2^3672151128 is an apocalyptic number.

3672151128 is a gapful number since it is divisible by the number (38) 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 3672151128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5452761600).

3672151128 is an abundant number, since it is smaller than the sum of its proper divisors (7233372072).

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

3672151128 is a wasteful number, since it uses less digits than its factorization.

3672151128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 847 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 3672151128 is about 60598.2766091578. The cubic root of 3672151128 is about 1542.7901192813.

The spelling of 3672151128 in words is "three billion, six hundred seventy-two million, one hundred fifty-one thousand, one hundred twenty-eight".