3673982400 has 336 divisors, whose sum is σ = 13266115200. Its totient is φ = 882790400.

The previous prime is 3673982399. The next prime is 3673982503. The reversal of 3673982400 is 42893763.

3673982400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7866967 + ... + 7867433.

Almost surely, 2^3673982400 is an apocalyptic number.

3673982400 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 3673982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6633057600).

3673982400 is an abundant number, since it is smaller than the sum of its proper divisors (9592132800).

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

3673982400 is a wasteful number, since it uses less digits than its factorization.

3673982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 3673982400 is about 60613.3846604857. The cubic root of 3673982400 is about 1543.0465356371.

The spelling of 3673982400 in words is "three billion, six hundred seventy-three million, nine hundred eighty-two thousand, four hundred".