3481716000 has 384 divisors, whose sum is σ = 13164802560. Its totient is φ = 787968000.

The previous prime is 3481715999. The next prime is 3481716013. The reversal of 3481716000 is 6171843.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 15203886 + ... + 15204114.

It is an arithmetic number, because the mean of its divisors is an integer number (34283340).

Almost surely, 2^3481716000 is an apocalyptic number.

3481716000 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 3481716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6582401280).

3481716000 is an abundant number, since it is smaller than the sum of its proper divisors (9683086560).

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

3481716000 is a wasteful number, since it uses less digits than its factorization.

3481716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 3481716000 is about 59006.0674846240. The cubic root of 3481716000 is about 1515.6460118956.

Adding to 3481716000 its reverse (6171843), we get a palindrome (3487887843).

The spelling of 3481716000 in words is "three billion, four hundred eighty-one million, seven hundred sixteen thousand".