3497941407744 has 432 divisors, whose sum is σ = 11989727240400. Its totient is φ = 999384956928.

The previous prime is 3497941407739. The next prime is 3497941407773. The reversal of 3497941407744 is 4477041497943.

3497941407744 is a `hidden beast` number, since 3 + 49 + 79 + 414 + 0 + 77 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94039902 + ... + 94077090.

Almost surely, 2^{3497941407744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3497941407744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5994863620200).

3497941407744 is an abundant number, since it is smaller than the sum of its proper divisors (8491785832656).

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

3497941407744 is an frugal number, since it uses more digits than its factorization.

3497941407744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37242 (or 37201 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 3497941407744 in words is "three trillion, four hundred ninety-seven billion, nine hundred forty-one million, four hundred seven thousand, seven hundred forty-four".