3493958019552 has 2592 divisors, whose sum is σ = 14538481461504. Its totient is φ = 807021895680.

The previous prime is 3493958019533. The next prime is 3493958019577. The reversal of 3493958019552 is 2559108593943.

3493958019552 is a `hidden beast` number, since 3 + 4 + 9 + 39 + 580 + 19 + 5 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3493958019552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 47862438588 + ... + 47862438660.

Almost surely, 2^{3493958019552} is an apocalyptic number.

3493958019552 is a gapful number since it is divisible by the number (32) 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 3493958019552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7269240730752).

3493958019552 is an abundant number, since it is smaller than the sum of its proper divisors (11044523441952).

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

3493958019552 is a wasteful number, since it uses less digits than its factorization.

3493958019552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 52488000, while the sum is 63.

The spelling of 3493958019552 in words is "three trillion, four hundred ninety-three billion, nine hundred fifty-eight million, nineteen thousand, five hundred fifty-two".