3134654389440 has 896 divisors, whose sum is σ = 13457041920000. Its totient is φ = 685325684736.

The previous prime is 3134654389439. The next prime is 3134654389481. The reversal of 3134654389440 is 449834564313.

3134654389440 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 6 + 543 + 8 + 94 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68137966 + ... + 68183954.

It is an arithmetic number, because the mean of its divisors is an integer number (15019020000).

Almost surely, 2^{3134654389440} is an apocalyptic number.

3134654389440 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 3134654389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6728520960000).

3134654389440 is an abundant number, since it is smaller than the sum of its proper divisors (10322387530560).

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

3134654389440 is a wasteful number, since it uses less digits than its factorization.

3134654389440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46059 (or 46029 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 3134654389440 in words is "three trillion, one hundred thirty-four billion, six hundred fifty-four million, three hundred eighty-nine thousand, four hundred forty".