3497808801504 has 192 divisors, whose sum is σ = 10040886116352. Its totient is φ = 1061379072000.

The previous prime is 3497808801503. The next prime is 3497808801569. The reversal of 3497808801504 is 4051088087943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3497808801503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98687274 + ... + 98722710.

It is an arithmetic number, because the mean of its divisors is an integer number (52296281856).

Almost surely, 2^{3497808801504} is an apocalyptic number.

3497808801504 is a gapful number since it is divisible by the number (34) 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 3497808801504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020443058176).

3497808801504 is an abundant number, since it is smaller than the sum of its proper divisors (6543077314848).

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

3497808801504 is a wasteful number, since it uses less digits than its factorization.

3497808801504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37449 (or 37441 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 3497808801504 in words is "three trillion, four hundred ninety-seven billion, eight hundred eight million, eight hundred one thousand, five hundred four".