3463023246400 has 63 divisors (see below), whose sum is σ = 8521384740661. Its totient is φ = 1385179523840.

The previous prime is 3463023246343. The next prime is 3463023246427. The reversal of 3463023246400 is 46423203643.

The square root of 3463023246400 is 1860920.

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

It can be written as a sum of positive squares in only one way, i.e., 1246688368704 + 2216334877696 = 1116552^2 + 1488736^2 .

It is a super-2 number, since 2×3463023246400² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3463023246400.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 74413539 + ... + 74460061.

Almost surely, 2^{3463023246400} is an apocalyptic number.

3463023246400 is the 1860920-th square number.

It is an amenable number.

3463023246400 is an abundant number, since it is smaller than the sum of its proper divisors (5058361494261).

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

3463023246400 is an frugal number, since it uses more digits than its factorization.

3463023246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93068 (or 46530 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 37.

The spelling of 3463023246400 in words is "three trillion, four hundred sixty-three billion, twenty-three million, two hundred forty-six thousand, four hundred".