3852034275600 has 405 divisors, whose sum is σ = 15553427337903. Its totient is φ = 880276561920.

The previous prime is 3852034275559. The next prime is 3852034275601. The reversal of 3852034275600 is 65724302583.

The square root of 3852034275600 is 1962660.

It is a perfect power (a square), and thus also a powerful number.

3852034275600 is a `hidden beast` number, since 3 + 8 + 5 + 2 + 0 + 34 + 2 + 7 + 5 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 693935648784 + 3158098626816 = 833028^2 + 1777104^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3852034275601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 824314864 + ... + 824319536.

Almost surely, 2^{3852034275600} is an apocalyptic number.

3852034275600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3852034275600 is the 1962660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3852034275600

3852034275600 is an abundant number, since it is smaller than the sum of its proper divisors (11701393062303).

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

3852034275600 is an equidigital number, since it uses as much as digits as its factorization.

3852034275600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9384 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 3852034275600 in words is "three trillion, eight hundred fifty-two billion, thirty-four million, two hundred seventy-five thousand, six hundred".