3474030954240 has 2304 divisors, whose sum is σ = 15848368865280. Its totient is φ = 708574003200.

The previous prime is 3474030954203. The next prime is 3474030954299. The reversal of 3474030954240 is 424590304743.

3474030954240 is a `hidden beast` number, since 3 + 4 + 74 + 0 + 30 + 9 + 542 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-3 number, since 3×3474030954240³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15304101007 + ... + 15304101233.

It is an arithmetic number, because the mean of its divisors is an integer number (6878632320).

Almost surely, 2^{3474030954240} is an apocalyptic number.

3474030954240 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 3474030954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7924184432640).

3474030954240 is an abundant number, since it is smaller than the sum of its proper divisors (12374337911040).

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

3474030954240 is an equidigital number, since it uses as much as digits as its factorization.

3474030954240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 3474030954240 in words is "three trillion, four hundred seventy-four billion, thirty million, nine hundred fifty-four thousand, two hundred forty".