3690429352200 has 480 divisors, whose sum is σ = 13682117592000. Its totient is φ = 919182297600.

The previous prime is 3690429352157. The next prime is 3690429352229. The reversal of 3690429352200 is 22539240963.

3690429352200 is a `hidden beast` number, since 3 + 6 + 90 + 4 + 2 + 9 + 352 + 200 = 666.

3690429352200 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 119 ways as a sum of consecutive naturals, for example, 21769366 + ... + 21938234.

It is an arithmetic number, because the mean of its divisors is an integer number (28504411650).

Almost surely, 2^{3690429352200} is an apocalyptic number.

3690429352200 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 3690429352200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6841058796000).

3690429352200 is an abundant number, since it is smaller than the sum of its proper divisors (9991688239800).

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

3690429352200 is a wasteful number, since it uses less digits than its factorization.

3690429352200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168987 (or 168969 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 3690429352200 in words is "three trillion, six hundred ninety billion, four hundred twenty-nine million, three hundred fifty-two thousand, two hundred".