3645038880 has 576 divisors, whose sum is σ = 15058068480. Its totient is φ = 815422464.

The previous prime is 3645038879. The next prime is 3645038911. The reversal of 3645038880 is 888305463.

3645038880 is a `hidden beast` number, since 3 + 64 + 503 + 8 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16057327 + ... + 16057553.

It is an arithmetic number, because the mean of its divisors is an integer number (26142480).

Almost surely, 2^3645038880 is an apocalyptic number.

3645038880 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 3645038880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7529034240).

3645038880 is an abundant number, since it is smaller than the sum of its proper divisors (11413029600).

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

3645038880 is a wasteful number, since it uses less digits than its factorization.

3645038880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3645038880 is about 60374.1573854244. The cubic root of 3645038880 is about 1538.9838239126.

The spelling of 3645038880 in words is "three billion, six hundred forty-five million, thirty-eight thousand, eight hundred eighty".