3735898675200 has 1152 divisors, whose sum is σ = 14741056512000. Its totient is φ = 924018278400.

The previous prime is 3735898675181. The next prime is 3735898675231. The reversal of 3735898675200 is 25768985373.

3735898675200 is a `hidden beast` number, since 3 + 7 + 358 + 9 + 8 + 6 + 75 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×3735898675200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1668555681 + ... + 1668557919.

It is an arithmetic number, because the mean of its divisors is an integer number (12796056000).

Almost surely, 2^{3735898675200} is an apocalyptic number.

3735898675200 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 3735898675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7370528256000).

3735898675200 is an abundant number, since it is smaller than the sum of its proper divisors (11005157836800).

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

3735898675200 is a wasteful number, since it uses less digits than its factorization.

3735898675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 3735898675200 in words is "three trillion, seven hundred thirty-five billion, eight hundred ninety-eight million, six hundred seventy-five thousand, two hundred".