3653406792 has 288 divisors, whose sum is σ = 12330676800. Its totient is φ = 954581760.

The previous prime is 3653406769. The next prime is 3653406793. The reversal of 3653406792 is 2976043563.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3653406793) 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, 9202338 + ... + 9202734.

It is an arithmetic number, because the mean of its divisors is an integer number (42814850).

Almost surely, 2^3653406792 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 3653406792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6165338400).

3653406792 is an abundant number, since it is smaller than the sum of its proper divisors (8677270008).

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

3653406792 is a wasteful number, since it uses less digits than its factorization.

3653406792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 3653406792 is about 60443.4181032145. The cubic root of 3653406792 is about 1540.1606050525.

The spelling of 3653406792 in words is "three billion, six hundred fifty-three million, four hundred six thousand, seven hundred ninety-two".