3142150400 has 108 divisors (see below), whose sum is σ = 7855932084. Its totient is φ = 1244160000.

The previous prime is 3142150381. The next prime is 3142150423. The reversal of 3142150400 is 40512413.

It can be written as a sum of positive squares in 6 ways, for example, as 476286976 + 2665863424 = 21824^2 + 51632^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 643970 + ... + 648830.

Almost surely, 2^3142150400 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 3142150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927966042).

3142150400 is an abundant number, since it is smaller than the sum of its proper divisors (4713781684).

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

3142150400 is a wasteful number, since it uses less digits than its factorization.

3142150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 3142150400 is about 56054.8873872743. The cubic root of 3142150400 is about 1464.6785551238.

Adding to 3142150400 its reverse (40512413), we get a palindrome (3182662813).

The spelling of 3142150400 in words is "three billion, one hundred forty-two million, one hundred fifty thousand, four hundred".