3540775680 has 720 divisors, whose sum is σ = 14210247744. Its totient is φ = 836075520.

The previous prime is 3540775649. The next prime is 3540775681. The reversal of 3540775680 is 865770453.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3540775681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49870045 + ... + 49870115.

Almost surely, 2^3540775680 is an apocalyptic number.

3540775680 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 3540775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7105123872).

3540775680 is an abundant number, since it is smaller than the sum of its proper divisors (10669472064).

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

3540775680 is a wasteful number, since it uses less digits than its factorization.

3540775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 3540775680 is about 59504.4173150196. The cubic root of 3540775680 is about 1524.1678778424.

The spelling of 3540775680 in words is "three billion, five hundred forty million, seven hundred seventy-five thousand, six hundred eighty".