3497335490880 has 672 divisors, whose sum is σ = 15038228544768. Its totient is φ = 724753612800.

The previous prime is 3497335490851. The next prime is 3497335490897. The reversal of 3497335490880 is 880945337943.

3497335490880 is a `hidden beast` number, since 3 + 4 + 9 + 7 + 3 + 3 + 549 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82695340 + ... + 82737620.

Almost surely, 2^{3497335490880} is an apocalyptic number.

3497335490880 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 3497335490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7519114272384).

3497335490880 is an abundant number, since it is smaller than the sum of its proper divisors (11540893053888).

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

3497335490880 is a wasteful number, since it uses less digits than its factorization.

3497335490880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42695 (or 42682 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 3497335490880 in words is "three trillion, four hundred ninety-seven billion, three hundred thirty-five million, four hundred ninety thousand, eight hundred eighty".