3493289897856 has 896 divisors, whose sum is σ = 12046267434240. Its totient is φ = 998184591360.

The previous prime is 3493289897837. The next prime is 3493289897863. The reversal of 3493289897856 is 6587989823943.

3493289897856 is a `hidden beast` number, since 3 + 49 + 328 + 98 + 97 + 85 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1723378315 + ... + 1723380341.

Almost surely, 2^{3493289897856} is an apocalyptic number.

3493289897856 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 3493289897856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6023133717120).

3493289897856 is an abundant number, since it is smaller than the sum of its proper divisors (8552977536384).

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

3493289897856 is a wasteful number, since it uses less digits than its factorization.

3493289897856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2139 counting only the distinct ones).

The product of its digits is 5643509760, while the sum is 81.

The spelling of 3493289897856 in words is "three trillion, four hundred ninety-three billion, two hundred eighty-nine million, eight hundred ninety-seven thousand, eight hundred fifty-six".