3141552400 has 240 divisors, whose sum is σ = 9432253440. Its totient is φ = 980582400.

The previous prime is 3141552373. The next prime is 3141552413. The reversal of 3141552400 is 42551413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1474536 + ... + 1476664.

It is an arithmetic number, because the mean of its divisors is an integer number (39301056).

Almost surely, 2^3141552400 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 3141552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716126720).

3141552400 is an abundant number, since it is smaller than the sum of its proper divisors (6290701040).

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

3141552400 is a wasteful number, since it uses less digits than its factorization.

3141552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 3141552400 is about 56049.5530758275. The cubic root of 3141552400 is about 1464.5856322064.

The spelling of 3141552400 in words is "three billion, one hundred forty-one million, five hundred fifty-two thousand, four hundred".