3675234742200 has 864 divisors, whose sum is σ = 14646178254240. Its totient is φ = 808903065600.

The previous prime is 3675234742187. The next prime is 3675234742229. The reversal of 3675234742200 is 22474325763.

3675234742200 is a `hidden beast` number, since 3 + 67 + 5 + 2 + 347 + 42 + 200 = 666.

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

It is a congruent number.

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, 1700709120 + ... + 1700711280.

Almost surely, 2^{3675234742200} is an apocalyptic number.

3675234742200 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 3675234742200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7323089127120).

3675234742200 is an abundant number, since it is smaller than the sum of its proper divisors (10970943512040).

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

3675234742200 is a wasteful number, since it uses less digits than its factorization.

3675234742200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 3675234742200 in words is "three trillion, six hundred seventy-five billion, two hundred thirty-four million, seven hundred forty-two thousand, two hundred".