3658453344 has 768 divisors, whose sum is σ = 14450688000. Its totient is φ = 873400320.

The previous prime is 3658453319. The next prime is 3658453417. The reversal of 3658453344 is 4433548563.

3658453344 is a `hidden beast` number, since 36 + 5 + 84 + 533 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3658453344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46309497 + ... + 46309575.

It is an arithmetic number, because the mean of its divisors is an integer number (18816000).

Almost surely, 2^3658453344 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 3658453344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7225344000).

3658453344 is an abundant number, since it is smaller than the sum of its proper divisors (10792234656).

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

3658453344 is a wasteful number, since it uses less digits than its factorization.

3658453344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The square root of 3658453344 is about 60485.1497807520. The cubic root of 3658453344 is about 1540.8694342794.

The spelling of 3658453344 in words is "three billion, six hundred fifty-eight million, four hundred fifty-three thousand, three hundred forty-four".