3141964800 has 396 divisors, whose sum is σ = 12126632700. Its totient is φ = 772669440.

The previous prime is 3141964789. The next prime is 3141964801. The reversal of 3141964800 is 84691413.

3141964800 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 9 + 648 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 31002624 + 3110962176 = 5568^2 + 55776^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141964801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2994676 + ... + 2995724.

Almost surely, 2^3141964800 is an apocalyptic number.

3141964800 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 3141964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6063316350).

3141964800 is an abundant number, since it is smaller than the sum of its proper divisors (8984667900).

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

3141964800 is a wasteful number, since it uses less digits than its factorization.

3141964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3141964800 is about 56053.2318425976. The cubic root of 3141964800 is about 1464.6497160956.

The spelling of 3141964800 in words is "three billion, one hundred forty-one million, nine hundred sixty-four thousand, eight hundred".