3630281760 has 192 divisors, whose sum is σ = 14521248000. Its totient is φ = 829771776.

The previous prime is 3630281749. The next prime is 3630281773. The reversal of 3630281760 is 671820363.

It is a happy number.

3630281760 is a `hidden beast` number, since 3 + 630 + 2 + 8 + 17 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29785 + ... + 90264.

It is an arithmetic number, because the mean of its divisors is an integer number (75631500).

Almost surely, 2^3630281760 is an apocalyptic number.

3630281760 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 3630281760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7260624000).

3630281760 is an abundant number, since it is smaller than the sum of its proper divisors (10890966240).

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

3630281760 is a wasteful number, since it uses less digits than its factorization.

3630281760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120080 (or 120066 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3630281760 is about 60251.8195575868. The cubic root of 3630281760 is about 1536.9041307859.

It can be divided in two parts, 3630 and 281760, that added together give a triangular number (285390 = T₇₅₅).

The spelling of 3630281760 in words is "three billion, six hundred thirty million, two hundred eighty-one thousand, seven hundred sixty".