3675268800 has 756 divisors, whose sum is σ = 15911968176. Its totient is φ = 787968000.

The previous prime is 3675268789. The next prime is 3675268813. The reversal of 3675268800 is 88625763.

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 107 ways as a sum of consecutive naturals, for example, 36388750 + ... + 36388850.

Almost surely, 2^3675268800 is an apocalyptic number.

3675268800 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 3675268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7955984088).

3675268800 is an abundant number, since it is smaller than the sum of its proper divisors (12236699376).

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

3675268800 is a wasteful number, since it uses less digits than its factorization.

3675268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 3675268800 is about 60623.9952494060. The cubic root of 3675268800 is about 1543.2266075791.

The spelling of 3675268800 in words is "three billion, six hundred seventy-five million, two hundred sixty-eight thousand, eight hundred".