3497628625920 has 1232 divisors, whose sum is σ = 14781039370272. Its totient is φ = 782566686720.

The previous prime is 3497628625901. The next prime is 3497628625943. The reversal of 3497628625920 is 295268267943.

It is a happy number.

3497628625920 is a `hidden beast` number, since 3 + 497 + 62 + 8 + 62 + 5 + 9 + 20 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 533741364 + ... + 533747916.

Almost surely, 2^{3497628625920} is an apocalyptic number.

3497628625920 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 3497628625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7390519685136).

3497628625920 is an abundant number, since it is smaller than the sum of its proper divisors (11283410744352).

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

3497628625920 is a wasteful number, since it uses less digits than its factorization.

3497628625920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6620 (or 6587 counting only the distinct ones).

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

The spelling of 3497628625920 in words is "three trillion, four hundred ninety-seven billion, six hundred twenty-eight million, six hundred twenty-five thousand, nine hundred twenty".