3540629181600 has 1296 divisors, whose sum is σ = 16047087795648. Its totient is φ = 728536596480.

The previous prime is 3540629181527. The next prime is 3540629181629. The reversal of 3540629181600 is 61819260453.

3540629181600 is a `hidden beast` number, since 3 + 5 + 4 + 0 + 6 + 29 + 18 + 1 + 600 = 666.

3540629181600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 137931967 + ... + 137957633.

It is an arithmetic number, because the mean of its divisors is an integer number (12382012188).

Almost surely, 2^{3540629181600} is an apocalyptic number.

3540629181600 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 3540629181600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8023543897824).

3540629181600 is an abundant number, since it is smaller than the sum of its proper divisors (12506458614048).

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

3540629181600 is a wasteful number, since it uses less digits than its factorization.

3540629181600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25747 (or 25724 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 3540629181600 in words is "three trillion, five hundred forty billion, six hundred twenty-nine million, one hundred eighty-one thousand, six hundred".