3540315600 has 540 divisors, whose sum is σ = 13618369440. Its totient is φ = 881798400.

The previous prime is 3540315589. The next prime is 3540315613. The reversal of 3540315600 is 65130453.

3540315600 is a `hidden beast` number, since 3 + 5 + 40 + 3 + 15 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 49863565 + ... + 49863635.

Almost surely, 2^3540315600 is an apocalyptic number.

3540315600 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 3540315600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6809184720).

3540315600 is an abundant number, since it is smaller than the sum of its proper divisors (10078053840).

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

3540315600 is an equidigital number, since it uses as much as digits as its factorization.

3540315600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 3540315600 is about 59500.5512579505. The cubic root of 3540315600 is about 1524.1018593956.

The spelling of 3540315600 in words is "three billion, five hundred forty million, three hundred fifteen thousand, six hundred".