3675974400 has 540 divisors, whose sum is σ = 15548765232. Its totient is φ = 839393280.

The previous prime is 3675974353. The next prime is 3675974417. The reversal of 3675974400 is 44795763.

It is a tau number, because it is divible by the number of its divisors (540).

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 59 ways as a sum of consecutive naturals, for example, 3628294 + ... + 3629306.

Almost surely, 2^3675974400 is an apocalyptic number.

3675974400 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 3675974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7774382616).

3675974400 is an abundant number, since it is smaller than the sum of its proper divisors (11872790832).

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

3675974400 is a wasteful number, since it uses less digits than its factorization.

3675974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3675974400 is about 60629.8144480090. The cubic root of 3675974400 is about 1543.3253605390.

The spelling of 3675974400 in words is "three billion, six hundred seventy-five million, nine hundred seventy-four thousand, four hundred".