3439474859520 has 3840 divisors, whose sum is σ = 16250799882240. Its totient is φ = 683723980800.

The previous prime is 3439474859453. The next prime is 3439474859521. The reversal of 3439474859520 is 259584749343.

3439474859520 is a `hidden beast` number, since 3 + 4 + 3 + 9 + 47 + 485 + 95 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3439474859521) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 73180316137 + ... + 73180316183.

It is an arithmetic number, because the mean of its divisors is an integer number (4231979136).

Almost surely, 2^{3439474859520} is an apocalyptic number.

3439474859520 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 3439474859520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8125399941120).

3439474859520 is an abundant number, since it is smaller than the sum of its proper divisors (12811325022720).

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

3439474859520 is a wasteful number, since it uses less digits than its factorization.

3439474859520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 3439474859520 in words is "three trillion, four hundred thirty-nine billion, four hundred seventy-four million, eight hundred fifty-nine thousand, five hundred twenty".