3540438720 has 1120 divisors, whose sum is σ = 16522598400. Its totient is φ = 698720256.

The previous prime is 3540438703. The next prime is 3540438757. The reversal of 3540438720 is 278340453.

It is a happy number.

3540438720 is a `hidden beast` number, since 3 + 540 + 43 + 8 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44815641 + ... + 44815719.

It is an arithmetic number, because the mean of its divisors is an integer number (14752320).

Almost surely, 2^3540438720 is an apocalyptic number.

3540438720 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 3540438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8261299200).

3540438720 is an abundant number, since it is smaller than the sum of its proper divisors (12982159680).

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

3540438720 is a wasteful number, since it uses less digits than its factorization.

3540438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3540438720 is about 59501.5858612189. The cubic root of 3540438720 is about 1524.1195268644.

The spelling of 3540438720 in words is "three billion, five hundred forty million, four hundred thirty-eight thousand, seven hundred twenty".