3493935648 has 144 divisors (see below), whose sum is σ = 11776040640. Its totient is φ = 998251776.

The previous prime is 3493935637. The next prime is 3493935703. The reversal of 3493935648 is 8465393943.

3493935648 is a `hidden beast` number, since 3 + 49 + 39 + 3 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 3493935594 and 3493935603.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22338 + ... + 86526.

It is an arithmetic number, because the mean of its divisors is an integer number (81778060).

Almost surely, 2^3493935648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3493935648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888020320).

3493935648 is an abundant number, since it is smaller than the sum of its proper divisors (8282104992).

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

3493935648 is an equidigital number, since it uses as much as digits as its factorization.

3493935648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64221 (or 64201 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The square root of 3493935648 is about 59109.5224815765. The cubic root of 3493935648 is about 1517.4170768740.

The spelling of 3493935648 in words is "three billion, four hundred ninety-three million, nine hundred thirty-five thousand, six hundred forty-eight".