3629053048320 has 640 divisors, whose sum is σ = 14744807700480. Its totient is φ = 828789719040.

The previous prime is 3629053048297. The next prime is 3629053048337. The reversal of 3629053048320 is 238403509263.

3629053048320 is a `hidden beast` number, since 3 + 6 + 2 + 90 + 530 + 4 + 8 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 746562690 + ... + 746567550.

It is an arithmetic number, because the mean of its divisors is an integer number (23038762032).

Almost surely, 2^{3629053048320} is an apocalyptic number.

3629053048320 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 3629053048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7372403850240).

3629053048320 is an abundant number, since it is smaller than the sum of its proper divisors (11115754652160).

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

3629053048320 is a wasteful number, since it uses less digits than its factorization.

3629053048320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6443 (or 6421 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 3629053048320 in words is "three trillion, six hundred twenty-nine billion, fifty-three million, forty-eight thousand, three hundred twenty".