3646551640 has 64 divisors (see below), whose sum is σ = 8631684000. Its totient is φ = 1384427520.

The previous prime is 3646551637. The next prime is 3646551641. The reversal of 3646551640 is 461556463.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3646551593 and 3646551602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3646551641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41800 + ... + 95080.

Almost surely, 2^3646551640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3646551640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315842000).

3646551640 is an abundant number, since it is smaller than the sum of its proper divisors (4985132360).

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

3646551640 is a wasteful number, since it uses less digits than its factorization.

3646551640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53380 (or 53376 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 3646551640 is about 60386.6842938077. The cubic root of 3646551640 is about 1539.1966969207.

The spelling of 3646551640 in words is "three billion, six hundred forty-six million, five hundred fifty-one thousand, six hundred forty".