3397504254480 has 1440 divisors, whose sum is σ = 14618762776800. Its totient is φ = 701783212032.

The previous prime is 3397504254479. The next prime is 3397504254541. The reversal of 3397504254480 is 844524057933.

3397504254480 is a `hidden beast` number, since 3 + 3 + 9 + 7 + 50 + 42 + 544 + 8 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 325981618704 + 3071522635776 = 570948^2 + 1752576^2 .

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, 3983005734 + ... + 3983006586.

It is an arithmetic number, because the mean of its divisors is an integer number (10151918595).

Almost surely, 2^{3397504254480} is an apocalyptic number.

3397504254480 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 3397504254480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7309381388400).

3397504254480 is an abundant number, since it is smaller than the sum of its proper divisors (11221258522320).

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

3397504254480 is a wasteful number, since it uses less digits than its factorization.

3397504254480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 3397504254480 in words is "three trillion, three hundred ninety-seven billion, five hundred four million, two hundred fifty-four thousand, four hundred eighty".