3540736800 has 360 divisors, whose sum is σ = 13064327892. Its totient is φ = 933120000.

The previous prime is 3540736789. The next prime is 3540736807. The reversal of 3540736800 is 86370453.

It is a happy number.

3540736800 is a `hidden beast` number, since 3 + 540 + 7 + 36 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2120049936 + 1420686864 = 46044^2 + 37692^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (3540736807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6544530 + ... + 6545070.

Almost surely, 2^3540736800 is an apocalyptic number.

3540736800 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 3540736800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6532163946).

3540736800 is an abundant number, since it is smaller than the sum of its proper divisors (9523591092).

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

3540736800 is a wasteful number, since it uses less digits than its factorization.

3540736800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3540736800 is about 59504.0906156879. The cubic root of 3540736800 is about 1524.1622990399.

The spelling of 3540736800 in words is "three billion, five hundred forty million, seven hundred thirty-six thousand, eight hundred".