3494874630240 has 768 divisors, whose sum is σ = 14943212605440. Its totient is φ = 745454223360.

The previous prime is 3494874630197. The next prime is 3494874630337. The reversal of 3494874630240 is 420364784943.

3494874630240 is a `hidden beast` number, since 3 + 494 + 8 + 74 + 63 + 0 + 24 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28455042 + ... + 28577598.

It is an arithmetic number, because the mean of its divisors is an integer number (19457308080).

Almost surely, 2^{3494874630240} is an apocalyptic number.

3494874630240 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 3494874630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7471606302720).

3494874630240 is an abundant number, since it is smaller than the sum of its proper divisors (11448337975200).

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

3494874630240 is a wasteful number, since it uses less digits than its factorization.

3494874630240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122652 (or 122638 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 3494874630240 in words is "three trillion, four hundred ninety-four billion, eight hundred seventy-four million, six hundred thirty thousand, two hundred forty".