3540138480 has 320 divisors, whose sum is σ = 12998275200. Its totient is φ = 882524160.

The previous prime is 3540138451. The next prime is 3540138487. The reversal of 3540138480 is 848310453.

3540138480 is a `hidden beast` number, since 3 + 5 + 40 + 138 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3540138487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8408670 + ... + 8409090.

It is an arithmetic number, because the mean of its divisors is an integer number (40619610).

Almost surely, 2^3540138480 is an apocalyptic number.

3540138480 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 3540138480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499137600).

3540138480 is an abundant number, since it is smaller than the sum of its proper divisors (9458136720).

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

3540138480 is a wasteful number, since it uses less digits than its factorization.

3540138480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3540138480 is about 59499.0628497626. The cubic root of 3540138480 is about 1524.0764423186.

The spelling of 3540138480 in words is "three billion, five hundred forty million, one hundred thirty-eight thousand, four hundred eighty".