3134980098000 has 1200 divisors, whose sum is σ = 12449252415600. Its totient is φ = 759357849600.

The previous prime is 3134980097993. The next prime is 3134980098023. The reversal of 3134980098000 is 8900894313.

It can be written as a sum of positive squares in 24 ways, for example, as 1924390426176 + 1210589671824 = 1387224^2 + 1100268^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1357720846 + ... + 1357723154.

It is an arithmetic number, because the mean of its divisors is an integer number (10374377013).

Almost surely, 2^{3134980098000} is an apocalyptic number.

3134980098000 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 3134980098000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6224626207800).

3134980098000 is an abundant number, since it is smaller than the sum of its proper divisors (9314272317600).

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

3134980098000 is a wasteful number, since it uses less digits than its factorization.

3134980098000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 3134980098000 in words is "three trillion, one hundred thirty-four billion, nine hundred eighty million, ninety-eight thousand".