3134453760 has 240 divisors, whose sum is σ = 11237826600. Its totient is φ = 835633152.

The previous prime is 3134453747. The next prime is 3134453783. The reversal of 3134453760 is 673544313.

3134453760 is a `hidden beast` number, since 3 + 134 + 453 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×3134453760⁴ (a number of 39 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 19 ways as a sum of consecutive naturals, for example, 827551 + ... + 831329.

Almost surely, 2^3134453760 is an apocalyptic number.

3134453760 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 3134453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5618913300).

3134453760 is an abundant number, since it is smaller than the sum of its proper divisors (8103372840).

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

3134453760 is an equidigital number, since it uses as much as digits as its factorization.

3134453760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3818 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 3134453760 is about 55986.1925835290. The cubic root of 3134453760 is about 1463.4816762262.

The spelling of 3134453760 in words is "three billion, one hundred thirty-four million, four hundred fifty-three thousand, seven hundred sixty".