3474197766400 has 243 divisors, whose sum is σ = 8998198064359. Its totient is φ = 1327946076160.

The previous prime is 3474197766383. The next prime is 3474197766419. The reversal of 3474197766400 is 46677914743.

The square root of 3474197766400 is 1863920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2073553920256 + 1400643846144 = 1439984^2 + 1183488^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3429612294 + ... + 3429613306.

Almost surely, 2^{3474197766400} is an apocalyptic number.

3474197766400 is the 1863920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3474197766400

3474197766400 is an abundant number, since it is smaller than the sum of its proper divisors (5524000297959).

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

3474197766400 is an frugal number, since it uses more digits than its factorization.

3474197766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 58.

The spelling of 3474197766400 in words is "three trillion, four hundred seventy-four billion, one hundred ninety-seven million, seven hundred sixty-six thousand, four hundred".