3400837128 has 48 divisors (see below), whose sum is σ = 9919111020. Its totient is φ = 1046411136.

The previous prime is 3400837123. The next prime is 3400837147. The reversal of 3400837128 is 8217380043.

It can be written as a sum of positive squares in 2 ways, for example, as 2424774564 + 976062564 = 49242^2 + 31242^2 .

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 = 3400837092 and 3400837101.

It is not an unprimeable number, because it can be changed into a prime (3400837123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1815751 + ... + 1817622.

Almost surely, 2^3400837128 is an apocalyptic number.

It is an amenable number.

3400837128 is an abundant number, since it is smaller than the sum of its proper divisors (6518273892).

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

3400837128 is a wasteful number, since it uses less digits than its factorization.

3400837128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633398 (or 3633391 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3400837128 is about 58316.6968200360. The cubic root of 3400837128 is about 1503.8179963573.

The spelling of 3400837128 in words is "three billion, four hundred million, eight hundred thirty-seven thousand, one hundred twenty-eight".