3690982400 has 264 divisors, whose sum is σ = 10721694720. Its totient is φ = 1233469440.

The previous prime is 3690982369. The next prime is 3690982403. The reversal of 3690982400 is 42890963.

It is a happy number.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (3690982403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7705361 + ... + 7705839.

It is an arithmetic number, because the mean of its divisors is an integer number (40612480).

Almost surely, 2^3690982400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3690982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5360847360).

3690982400 is an abundant number, since it is smaller than the sum of its proper divisors (7030712320).

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

3690982400 is a wasteful number, since it uses less digits than its factorization.

3690982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 3690982400 is about 60753.4558687817. The cubic root of 3690982400 is about 1545.4228340353.

The spelling of 3690982400 in words is "three billion, six hundred ninety million, nine hundred eighty-two thousand, four hundred".