3705325128 has 256 divisors, whose sum is σ = 11335680000. Its totient is φ = 1116944640.

The previous prime is 3705325123. The next prime is 3705325133. The reversal of 3705325128 is 8215235073.

It is a happy number.

3705325128 is a `hidden beast` number, since 3 + 70 + 532 + 51 + 2 + 8 = 666.

3705325128 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3705325123) and next prime (3705325133).

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 = 3705325092 and 3705325101.

It is not an unprimeable number, because it can be changed into a prime (3705325123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19399513 + ... + 19399703.

It is an arithmetic number, because the mean of its divisors is an integer number (44280000).

Almost surely, 2^3705325128 is an apocalyptic number.

3705325128 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 3705325128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5667840000).

3705325128 is an abundant number, since it is smaller than the sum of its proper divisors (7630354872).

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

3705325128 is a wasteful number, since it uses less digits than its factorization.

3705325128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 3705325128 is about 60871.3818473016. The cubic root of 3705325128 is about 1547.4220244786.

The spelling of 3705325128 in words is "three billion, seven hundred five million, three hundred twenty-five thousand, one hundred twenty-eight".