3675196800 has 480 divisors, whose sum is σ = 14806697400. Its totient is φ = 890265600.

The previous prime is 3675196729. The next prime is 3675196849. The reversal of 3675196800 is 86915763.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×3675196800³ (a number of 30 digits) contains 333 as substring.

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 59 ways as a sum of consecutive naturals, for example, 2850556 + ... + 2851844.

Almost surely, 2^3675196800 is an apocalyptic number.

3675196800 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 3675196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7403348700).

3675196800 is an abundant number, since it is smaller than the sum of its proper divisors (11131500600).

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

3675196800 is a wasteful number, since it uses less digits than its factorization.

3675196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3675196800 is about 60623.4014222231. The cubic root of 3675196800 is about 1543.2165300359.

The spelling of 3675196800 in words is "three billion, six hundred seventy-five million, one hundred ninety-six thousand, eight hundred".