3145200000 has 192 divisors, whose sum is σ = 10446362640. Its totient is φ = 838400000.

The previous prime is 3145199951. The next prime is 3145200001. The reversal of 3145200000 is 25413.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×3145200000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145200001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1198690 + ... + 1201310.

Almost surely, 2^3145200000 is an apocalyptic number.

3145200000 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 3145200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5223181320).

3145200000 is an abundant number, since it is smaller than the sum of its proper divisors (7301162640).

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

3145200000 is an frugal number, since it uses more digits than its factorization.

3145200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2663 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 3145200000 is about 56082.0827002707. The cubic root of 3145200000 is about 1465.1522476477.

Adding to 3145200000 its reverse (25413), we get a palindrome (3145225413).

The spelling of 3145200000 in words is "three billion, one hundred forty-five million, two hundred thousand".