3461751004320 has 1440 divisors, whose sum is σ = 15098040619200. Its totient is φ = 742685884416.

The previous prime is 3461751004303. The next prime is 3461751004363. The reversal of 3461751004320 is 234001571643.

3461751004320 is a `hidden beast` number, since 3 + 4 + 617 + 5 + 1 + 0 + 0 + 4 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1363429611 + ... + 1363432149.

It is an arithmetic number, because the mean of its divisors is an integer number (10484750430).

Almost surely, 2^{3461751004320} is an apocalyptic number.

3461751004320 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 3461751004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7549020309600).

3461751004320 is an abundant number, since it is smaller than the sum of its proper divisors (11636289614880).

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

3461751004320 is a wasteful number, since it uses less digits than its factorization.

3461751004320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 3461751004320 its reverse (234001571643), we get a palindrome (3695752575963).

The spelling of 3461751004320 in words is "three trillion, four hundred sixty-one billion, seven hundred fifty-one million, four thousand, three hundred twenty".