3493497361536 has 1536 divisors, whose sum is σ = 13544864686080. Its totient is φ = 871071252480.

The previous prime is 3493497361499. The next prime is 3493497361589. The reversal of 3493497361536 is 6351637943943.

3493497361536 is a `hidden beast` number, since 3 + 4 + 9 + 3 + 4 + 9 + 7 + 3 + 615 + 3 + 6 = 666.

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

Its product of digits (132269760) is a multiple of the sum of its prime divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6705368956 + ... + 6705369476.

It is an arithmetic number, because the mean of its divisors is an integer number (8818271280).

Almost surely, 2^{3493497361536} is an apocalyptic number.

3493497361536 is a gapful number since it is divisible by the number (36) 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 3493497361536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6772432343040).

3493497361536 is an abundant number, since it is smaller than the sum of its proper divisors (10051367324544).

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

3493497361536 is a wasteful number, since it uses less digits than its factorization.

3493497361536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 672 counting only the distinct ones).

The product of its digits is 132269760, while the sum is 63.

The spelling of 3493497361536 in words is "three trillion, four hundred ninety-three billion, four hundred ninety-seven million, three hundred sixty-one thousand, five hundred thirty-six".