3640146048 has 256 divisors, whose sum is σ = 13395456000. Its totient is φ = 945423360.

The previous prime is 3640146031. The next prime is 3640146061. The reversal of 3640146048 is 8406410463.

3640146048 is a `hidden beast` number, since 3 + 6 + 40 + 1 + 4 + 604 + 8 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259273 + ... + 272951.

It is an arithmetic number, because the mean of its divisors is an integer number (52326000).

Almost surely, 2^3640146048 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 3640146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6697728000).

3640146048 is an abundant number, since it is smaller than the sum of its proper divisors (9755309952).

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

3640146048 is a wasteful number, since it uses less digits than its factorization.

3640146048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13720 (or 13702 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3640146048 is about 60333.6228648670. The cubic root of 3640146048 is about 1538.2949093543.

The spelling of 3640146048 in words is "three billion, six hundred forty million, one hundred forty-six thousand, forty-eight".