3650481120 has 288 divisors, whose sum is σ = 13586880384. Its totient is φ = 816691200.

The previous prime is 3650481113. The next prime is 3650481157. The reversal of 3650481120 is 211840563.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 890275 + ... + 894365.

It is an arithmetic number, because the mean of its divisors is an integer number (47176668).

Almost surely, 2^3650481120 is an apocalyptic number.

3650481120 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 3650481120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793440192).

3650481120 is an abundant number, since it is smaller than the sum of its proper divisors (9936399264).

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

3650481120 is a wasteful number, since it uses less digits than its factorization.

3650481120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4146 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 3650481120 is about 60419.2115142195. The cubic root of 3650481120 is about 1539.7493717058.

The spelling of 3650481120 in words is "three billion, six hundred fifty million, four hundred eighty-one thousand, one hundred twenty".