3540814128 has 240 divisors, whose sum is σ = 10963584000. Its totient is φ = 1093727232.

The previous prime is 3540814127. The next prime is 3540814133. The reversal of 3540814128 is 8214180453.

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 = 3540814092 and 3540814101.

It is not an unprimeable number, because it can be changed into a prime (3540814127) 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, 9862813 + ... + 9863171.

It is an arithmetic number, because the mean of its divisors is an integer number (45681600).

Almost surely, 2^3540814128 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 3540814128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5481792000).

3540814128 is an abundant number, since it is smaller than the sum of its proper divisors (7422769872).

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

3540814128 is a wasteful number, since it uses less digits than its factorization.

3540814128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 3540814128 is about 59504.7403825947. The cubic root of 3540814128 is about 1524.1733946179.

The spelling of 3540814128 in words is "three billion, five hundred forty million, eight hundred fourteen thousand, one hundred twenty-eight".