3134791800 has 384 divisors, whose sum is σ = 12456345600. Its totient is φ = 709793280.

The previous prime is 3134791799. The next prime is 3134791819. The reversal of 3134791800 is 81974313.

It is a happy number.

3134791800 is a `hidden beast` number, since 3 + 1 + 3 + 479 + 180 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4800274 + ... + 4800926.

It is an arithmetic number, because the mean of its divisors is an integer number (32438400).

Almost surely, 2^3134791800 is an apocalyptic number.

3134791800 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 3134791800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6228172800).

3134791800 is an abundant number, since it is smaller than the sum of its proper divisors (9321553800).

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

3134791800 is a wasteful number, since it uses less digits than its factorization.

3134791800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3134791800 is about 55989.2114607805. The cubic root of 3134791800 is about 1463.5342848145.

The spelling of 3134791800 in words is "three billion, one hundred thirty-four million, seven hundred ninety-one thousand, eight hundred".