3645854016 has 448 divisors, whose sum is σ = 12289536000. Its totient is φ = 950433792.

The previous prime is 3645853979. The next prime is 3645854021. The reversal of 3645854016 is 6104585463.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43925911 + ... + 43925993.

It is an arithmetic number, because the mean of its divisors is an integer number (27432000).

Almost surely, 2^3645854016 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 3645854016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144768000).

3645854016 is an abundant number, since it is smaller than the sum of its proper divisors (8643681984).

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

3645854016 is a wasteful number, since it uses less digits than its factorization.

3645854016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 3645854016 is about 60380.9077109644. The cubic root of 3645854016 is about 1539.0985357770.

The spelling of 3645854016 in words is "three billion, six hundred forty-five million, eight hundred fifty-four thousand, sixteen".