3646749600 has 756 divisors, whose sum is σ = 14844210066. Its totient is φ = 873400320.

The previous prime is 3646749569. The next prime is 3646749607. The reversal of 3646749600 is 69476463.

3646749600 is a `hidden beast` number, since 36 + 4 + 6 + 7 + 4 + 9 + 600 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 28005264 + 3618744336 = 5292^2 + 60156^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3646749607) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 98560782 + ... + 98560818.

Almost surely, 2^3646749600 is an apocalyptic number.

3646749600 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 3646749600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7422105033).

3646749600 is an abundant number, since it is smaller than the sum of its proper divisors (11197460466).

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

3646749600 is a wasteful number, since it uses less digits than its factorization.

3646749600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3646749600 is about 60388.3233746392. The cubic root of 3646749600 is about 1539.2245491580.

The spelling of 3646749600 in words is "three billion, six hundred forty-six million, seven hundred forty-nine thousand, six hundred".