3645408000 has 576 divisors, whose sum is σ = 13713702912. Its totient is φ = 851558400.

The previous prime is 3645407981. The next prime is 3645408029. The reversal of 3645408000 is 8045463.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 28703937 + ... + 28704063.

It is an arithmetic number, because the mean of its divisors is an integer number (23808512).

Almost surely, 2^3645408000 is an apocalyptic number.

3645408000 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 3645408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856851456).

3645408000 is an abundant number, since it is smaller than the sum of its proper divisors (10068294912).

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

3645408000 is a wasteful number, since it uses less digits than its factorization.

3645408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3645408000 is about 60377.2142451107. The cubic root of 3645408000 is about 1539.0357712812.

The spelling of 3645408000 in words is "three billion, six hundred forty-five million, four hundred eight thousand".