3683606400 has 576 divisors, whose sum is σ = 14087848320. Its totient is φ = 914411520.

The previous prime is 3683606389. The next prime is 3683606401. The reversal of 3683606400 is 46063863.

3683606400 is a `hidden beast` number, since 3 + 6 + 8 + 3 + 6 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3683606400² = 27137912220241920000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3683606401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44380759 + ... + 44380841.

It is an arithmetic number, because the mean of its divisors is an integer number (24458070).

Almost surely, 2^3683606400 is an apocalyptic number.

3683606400 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 3683606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7043924160).

3683606400 is an abundant number, since it is smaller than the sum of its proper divisors (10404241920).

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

3683606400 is a wasteful number, since it uses less digits than its factorization.

3683606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3683606400 is about 60692.7211451258. The cubic root of 3683606400 is about 1544.3926981304.

The spelling of 3683606400 in words is "three billion, six hundred eighty-three million, six hundred six thousand, four hundred".