3459573707040 has 1728 divisors, whose sum is σ = 14090008423680. Its totient is φ = 791949312000.

The previous prime is 3459573707017. The next prime is 3459573707047. The reversal of 3459573707040 is 407073759543.

3459573707040 is a `hidden beast` number, since 3 + 4 + 595 + 7 + 3 + 7 + 0 + 7 + 0 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3459573707047) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 35665708272 + ... + 35665708368.

It is an arithmetic number, because the mean of its divisors is an integer number (8153940060).

Almost surely, 2^{3459573707040} is an apocalyptic number.

3459573707040 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 3459573707040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7045004211840).

3459573707040 is an abundant number, since it is smaller than the sum of its proper divisors (10630434716640).

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

3459573707040 is a wasteful number, since it uses less digits than its factorization.

3459573707040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 11113200, while the sum is 54.

The spelling of 3459573707040 in words is "three trillion, four hundred fifty-nine billion, five hundred seventy-three million, seven hundred seven thousand, forty".