3613982400 has 1344 divisors, whose sum is σ = 17234611200. Its totient is φ = 716636160.

The previous prime is 3613982399. The next prime is 3613982413. The reversal of 3613982400 is 42893163.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 97675182 + ... + 97675218.

Almost surely, 2^3613982400 is an apocalyptic number.

3613982400 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 3613982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8617305600).

3613982400 is an abundant number, since it is smaller than the sum of its proper divisors (13620628800).

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

3613982400 is a wasteful number, since it uses less digits than its factorization.

3613982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3613982400 is about 60116.4070782677. The cubic root of 3613982400 is about 1534.6005319557.

The spelling of 3613982400 in words is "three billion, six hundred thirteen million, nine hundred eighty-two thousand, four hundred".