3540342564 has 144 divisors (see below), whose sum is σ = 10041071040. Its totient is φ = 1042513920.

The previous prime is 3540342503. The next prime is 3540342571. The reversal of 3540342564 is 4652430453.

3540342564 is a `hidden beast` number, since 3 + 54 + 0 + 3 + 42 + 564 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4375792 + ... + 4376600.

It is an arithmetic number, because the mean of its divisors is an integer number (69729660).

Almost surely, 2^3540342564 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 3540342564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020535520).

3540342564 is an abundant number, since it is smaller than the sum of its proper divisors (6500728476).

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

3540342564 is a wasteful number, since it uses less digits than its factorization.

3540342564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 3540342564 is about 59500.7778436551. Note that the first 3 decimals coincide. The cubic root of 3540342564 is about 1524.1057287096.

The spelling of 3540342564 in words is "three billion, five hundred forty million, three hundred forty-two thousand, five hundred sixty-four".