3461439471840 has 576 divisors, whose sum is σ = 14014218516480. Its totient is φ = 790360104960.

The previous prime is 3461439471793. The next prime is 3461439471871. The reversal of 3461439471840 is 481749341643.

3461439471840 is a `hidden beast` number, since 3 + 4 + 61 + 4 + 39 + 471 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 282768120 + ... + 282780360.

It is an arithmetic number, because the mean of its divisors is an integer number (24330240480).

Almost surely, 2^{3461439471840} is an apocalyptic number.

3461439471840 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 3461439471840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7007109258240).

3461439471840 is an abundant number, since it is smaller than the sum of its proper divisors (10552779044640).

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

3461439471840 is a wasteful number, since it uses less digits than its factorization.

3461439471840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13317 (or 13297 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3461439471840 in words is "three trillion, four hundred sixty-one billion, four hundred thirty-nine million, four hundred seventy-one thousand, eight hundred forty".