3134545920 has 336 divisors, whose sum is σ = 11868893712. Its totient is φ = 758906880.

The previous prime is 3134545891. The next prime is 3134545927. The reversal of 3134545920 is 295454313.

3134545920 is a `hidden beast` number, since 3 + 13 + 4 + 54 + 592 + 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 not an unprimeable number, because it can be changed into a prime (3134545927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4054654 + ... + 4055426.

Almost surely, 2^3134545920 is an apocalyptic number.

3134545920 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 3134545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5934446856).

3134545920 is an abundant number, since it is smaller than the sum of its proper divisors (8734347792).

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

3134545920 is a wasteful number, since it uses less digits than its factorization.

3134545920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3134545920 is about 55987.0156375565. The cubic root of 3134545920 is about 1463.4960193047.

The spelling of 3134545920 in words is "three billion, one hundred thirty-four million, five hundred forty-five thousand, nine hundred twenty".