3354726400 has 117 divisors (see below), whose sum is σ = 8364919503. Its totient is φ = 1334476800.

The previous prime is 3354726373. The next prime is 3354726407. The reversal of 3354726400 is 46274533.

The square root of 3354726400 is 57920.

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 1800474624 + 1554251776 = 42432^2 + 39424^2 .

It is a super-2 number, since 2×3354726400² = 22508378437713920000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3354726407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18534310 + ... + 18534490.

Almost surely, 2^3354726400 is an apocalyptic number.

3354726400 is the 57920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3354726400

3354726400 is an abundant number, since it is smaller than the sum of its proper divisors (5010193103).

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

3354726400 is an frugal number, since it uses more digits than its factorization.

3354726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 34.

The cubic root of 3354726400 is about 1496.9904695596.

The spelling of 3354726400 in words is "three billion, three hundred fifty-four million, seven hundred twenty-six thousand, four hundred".