3134670000 has 800 divisors, whose sum is σ = 13387714560. Its totient is φ = 612480000.

The previous prime is 3134669987. The next prime is 3134670043. The reversal of 3134670000 is 764313.

3134670000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 53129971 + ... + 53130029.

Almost surely, 2^3134670000 is an apocalyptic number.

3134670000 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 3134670000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6693857280).

3134670000 is an abundant number, since it is smaller than the sum of its proper divisors (10253044560).

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

3134670000 is a wasteful number, since it uses less digits than its factorization.

3134670000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 3134670000 is about 55988.1237406649. The cubic root of 3134670000 is about 1463.5153297242.

It can be divided in two parts, 3 and 134670000, that multiplied together give a square (404010000 = 20100²).

The spelling of 3134670000 in words is "three billion, one hundred thirty-four million, six hundred seventy thousand".