3460487546880 has 2880 divisors, whose sum is σ = 16238409707520. Its totient is φ = 686250786816.

The previous prime is 3460487546863. The next prime is 3460487546903. The reversal of 3460487546880 is 886457840643.

3460487546880 is a `hidden beast` number, since 3 + 4 + 6 + 0 + 4 + 8 + 7 + 546 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×3460487546880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 27247933377 + ... + 27247933503.

It is an arithmetic number, because the mean of its divisors is an integer number (5638336704).

Almost surely, 2^{3460487546880} is an apocalyptic number.

3460487546880 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 3460487546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8119204853760).

3460487546880 is an abundant number, since it is smaller than the sum of its proper divisors (12777922160640).

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

3460487546880 is a wasteful number, since it uses less digits than its factorization.

3460487546880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 3460487546880 in words is "three trillion, four hundred sixty billion, four hundred eighty-seven million, five hundred forty-six thousand, eight hundred eighty".