3153200640 has 160 divisors (see below), whose sum is σ = 10519255296. Its totient is φ = 804249600.

The previous prime is 3153200629. The next prime is 3153200641. The reversal of 3153200640 is 460023513.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3153200640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3153200641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 167715 + ... + 185565.

Almost surely, 2^3153200640 is an apocalyptic number.

3153200640 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 3153200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5259627648).

3153200640 is an abundant number, since it is smaller than the sum of its proper divisors (7366054656).

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

3153200640 is a wasteful number, since it uses less digits than its factorization.

3153200640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17900 (or 17884 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3153200640 is about 56153.3671296744. The cubic root of 3153200640 is about 1466.3935285672.

The spelling of 3153200640 in words is "three billion, one hundred fifty-three million, two hundred thousand, six hundred forty".