3134953635840 has 960 divisors, whose sum is σ = 12394293381120. Its totient is φ = 746575626240.

The previous prime is 3134953635767. The next prime is 3134953635857. The reversal of 3134953635840 is 485363594313.

3134953635840 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 9 + 53 + 6 + 3 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 891369762 + ... + 891373278.

It is an arithmetic number, because the mean of its divisors is an integer number (12910722272).

Almost surely, 2^{3134953635840} is an apocalyptic number.

3134953635840 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 3134953635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6197146690560).

3134953635840 is an abundant number, since it is smaller than the sum of its proper divisors (9259339745280).

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

3134953635840 is a wasteful number, since it uses less digits than its factorization.

3134953635840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3603 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 3134953635840 in words is "three trillion, one hundred thirty-four billion, nine hundred fifty-three million, six hundred thirty-five thousand, eight hundred forty".