3640273920 has 352 divisors, whose sum is σ = 13706712000. Its totient is φ = 913047552.

The previous prime is 3640273907. The next prime is 3640273933. The reversal of 3640273920 is 293720463.

It is a happy number.

3640273920 is a `hidden beast` number, since 3 + 640 + 2 + 7 + 3 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3640273907) and next prime (3640273933).

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2349306 + ... + 2350854.

Almost surely, 2^3640273920 is an apocalyptic number.

3640273920 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 3640273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6853356000).

3640273920 is an abundant number, since it is smaller than the sum of its proper divisors (10066438080).

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

3640273920 is a wasteful number, since it uses less digits than its factorization.

3640273920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3640273920 is about 60334.6825631825. The cubic root of 3640273920 is about 1538.3129216850.

The spelling of 3640273920 in words is "three billion, six hundred forty million, two hundred seventy-three thousand, nine hundred twenty".