3474197464320 has 1440 divisors, whose sum is σ = 14000833566720. Its totient is φ = 815284224000.

The previous prime is 3474197464313. The next prime is 3474197464343. The reversal of 3474197464320 is 234647914743.

It is a happy number.

3474197464320 is a `hidden beast` number, since 3 + 4 + 74 + 1 + 97 + 464 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8931098686 + ... + 8931099074.

It is an arithmetic number, because the mean of its divisors is an integer number (9722801088).

Almost surely, 2^{3474197464320} is an apocalyptic number.

3474197464320 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 3474197464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7000416783360).

3474197464320 is an abundant number, since it is smaller than the sum of its proper divisors (10526636102400).

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

3474197464320 is a wasteful number, since it uses less digits than its factorization.

3474197464320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 3474197464320 in words is "three trillion, four hundred seventy-four billion, one hundred ninety-seven million, four hundred sixty-four thousand, three hundred twenty".