3650125248 has 336 divisors, whose sum is σ = 13620902400. Its totient is φ = 947842560.

The previous prime is 3650125247. The next prime is 3650125253. The reversal of 3650125248 is 8425210563.

3650125248 is a `hidden beast` number, since 365 + 0 + 1 + 252 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3650125247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 929433 + ... + 933351.

It is an arithmetic number, because the mean of its divisors is an integer number (40538400).

Almost surely, 2^3650125248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3650125248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6810451200).

3650125248 is an abundant number, since it is smaller than the sum of its proper divisors (9970777152).

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

3650125248 is a wasteful number, since it uses less digits than its factorization.

3650125248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3965 (or 3942 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3650125248 is about 60416.2664189041. The cubic root of 3650125248 is about 1539.6993352424.

The spelling of 3650125248 in words is "three billion, six hundred fifty million, one hundred twenty-five thousand, two hundred forty-eight".