3472750209000 has 128 divisors (see below), whose sum is σ = 10842281049600. Its totient is φ = 925442758400.

The previous prime is 3472750208999. The next prime is 3472750209001. The reversal of 3472750209000 is 9020572743.

It is an interprime number because it is at equal distance from previous prime (3472750208999) and next prime (3472750209001).

It is a self number, because there is not a number n which added to its sum of digits gives 3472750209000.

It is not an unprimeable number, because it can be changed into a prime (3472750209001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4071766 + ... + 4850234.

It is an arithmetic number, because the mean of its divisors is an integer number (84705320700).

Almost surely, 2^{3472750209000} is an apocalyptic number.

3472750209000 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 3472750209000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5421140524800).

3472750209000 is an abundant number, since it is smaller than the sum of its proper divisors (7369530840600).

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

3472750209000 is a wasteful number, since it uses less digits than its factorization.

3472750209000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779980 (or 779966 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The spelling of 3472750209000 in words is "three trillion, four hundred seventy-two billion, seven hundred fifty million, two hundred nine thousand".