3461945708880 has 840 divisors, whose sum is σ = 12535429493664. Its totient is φ = 888684825600.

The previous prime is 3461945708863. The next prime is 3461945708939. The reversal of 3461945708880 is 888075491643.

3461945708880 is a `hidden beast` number, since 3 + 4 + 619 + 4 + 5 + 7 + 0 + 8 + 8 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 10459050315 + ... + 10459050645.

Almost surely, 2^{3461945708880} is an apocalyptic number.

3461945708880 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 3461945708880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267714746832).

3461945708880 is an abundant number, since it is smaller than the sum of its proper divisors (9073483784784).

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

3461945708880 is a wasteful number, since it uses less digits than its factorization.

3461945708880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 3461945708880 in words is "three trillion, four hundred sixty-one billion, nine hundred forty-five million, seven hundred eight thousand, eight hundred eighty".