3685334400 has 288 divisors, whose sum is σ = 14346816120. Its totient is φ = 893337600.

The previous prime is 3685334399. The next prime is 3685334417. The reversal of 3685334400 is 44335863.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 310984 + ... + 322616.

Almost surely, 2^3685334400 is an apocalyptic number.

3685334400 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 3685334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7173408060).

3685334400 is an abundant number, since it is smaller than the sum of its proper divisors (10661481720).

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

3685334400 is a wasteful number, since it uses less digits than its factorization.

3685334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11674 (or 11654 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3685334400 is about 60706.9551204802. The cubic root of 3685334400 is about 1544.6341547446.

It can be divided in two parts, 36853 and 34400, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 3685334400 in words is "three billion, six hundred eighty-five million, three hundred thirty-four thousand, four hundred".