3540680220 has 432 divisors, whose sum is σ = 13067218080. Its totient is φ = 713180160.

The previous prime is 3540680207. The next prime is 3540680239. The reversal of 3540680220 is 220860453.

3540680220 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13162246 + ... + 13162514.

It is an arithmetic number, because the mean of its divisors is an integer number (30248190).

Almost surely, 2^3540680220 is an apocalyptic number.

3540680220 is a gapful number since it is divisible by the number (30) 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 3540680220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6533609040).

3540680220 is an abundant number, since it is smaller than the sum of its proper divisors (9526537860).

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

3540680220 is a wasteful number, since it uses less digits than its factorization.

3540680220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3540680220 is about 59503.6151842894. The cubic root of 3540680220 is about 1524.1541804319.

The spelling of 3540680220 in words is "three billion, five hundred forty million, six hundred eighty thousand, two hundred twenty".