3640848120 has 576 divisors, whose sum is σ = 14963719680. Its totient is φ = 751555584.

The previous prime is 3640848119. The next prime is 3640848131. The reversal of 3640848120 is 218480463.

3640848120 is a `hidden beast` number, since 3 + 640 + 8 + 4 + 8 + 1 + 2 + 0 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35347989 + ... + 35348091.

It is an arithmetic number, because the mean of its divisors is an integer number (25978680).

Almost surely, 2^3640848120 is an apocalyptic number.

3640848120 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 3640848120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7481859840).

3640848120 is an abundant number, since it is smaller than the sum of its proper divisors (11322871560).

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

3640848120 is a wasteful number, since it uses less digits than its factorization.

3640848120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3640848120 is about 60339.4408326759. The cubic root of 3640848120 is about 1538.3937995585.

The spelling of 3640848120 in words is "three billion, six hundred forty million, eight hundred forty-eight thousand, one hundred twenty".