3134949840 has 480 divisors, whose sum is σ = 12284213760. Its totient is φ = 708480000.

The previous prime is 3134949817. The next prime is 3134949863. The reversal of 3134949840 is 489494313.

It is a happy number.

3134949840 is a `hidden beast` number, since 31 + 3 + 494 + 98 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3134949817) and next prime (3134949863).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12489715 + ... + 12489965.

It is an arithmetic number, because the mean of its divisors is an integer number (25592112).

Almost surely, 2^3134949840 is an apocalyptic number.

3134949840 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 3134949840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142106880).

3134949840 is an abundant number, since it is smaller than the sum of its proper divisors (9149263920).

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

3134949840 is a wasteful number, since it uses less digits than its factorization.

3134949840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3134949840 is about 55990.6227863202. The cubic root of 3134949840 is about 1463.5588790126.

The spelling of 3134949840 in words is "three billion, one hundred thirty-four million, nine hundred forty-nine thousand, eight hundred forty".