3460089995250 has 256 divisors, whose sum is σ = 10490537041920. Its totient is φ = 741976070400.

The previous prime is 3460089995209. The next prime is 3460089995293. The reversal of 3460089995250 is 525999800643.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10105864 + ... + 10442636.

It is an arithmetic number, because the mean of its divisors is an integer number (40978660320).

Almost surely, 2^{3460089995250} is an apocalyptic number.

3460089995250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3460089995250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5245268520960).

3460089995250 is an abundant number, since it is smaller than the sum of its proper divisors (7030447046670).

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

3460089995250 is a wasteful number, since it uses less digits than its factorization.

3460089995250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336922 (or 336912 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 60.

The spelling of 3460089995250 in words is "three trillion, four hundred sixty billion, eighty-nine million, nine hundred ninety-five thousand, two hundred fifty".