3496557617280 has 2304 divisors, whose sum is σ = 16576311679200. Its totient is φ = 670049501184.

The previous prime is 3496557617279. The next prime is 3496557617321. The reversal of 3496557617280 is 827167556943.

3496557617280 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 5 + 5 + 7 + 617 + 2 + 8 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 478388022336 + 3018169594944 = 691656^2 + 1737288^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1808875194 + ... + 1808877126.

It is a 1-persistent number, because it is pandigital, but 2⋅3496557617280 = 6993115234560 is not.

Almost surely, 2^{3496557617280} is an apocalyptic number.

3496557617280 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 3496557617280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8288155839600).

3496557617280 is an abundant number, since it is smaller than the sum of its proper divisors (13079754061920).

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

3496557617280 is a wasteful number, since it uses less digits than its factorization.

3496557617280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 3496557617280 in words is "three trillion, four hundred ninety-six billion, five hundred fifty-seven million, six hundred seventeen thousand, two hundred eighty".