3454840038400 has 99 divisors (see below), whose sum is σ = 8564556943299. Its totient is φ = 1381817057280.

The previous prime is 3454840038347. The next prime is 3454840038469. The reversal of 3454840038400 is 48300484543.

The square root of 3454840038400 is 1858720.

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 302482400256 + 3152357638144 = 549984^2 + 1775488^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 297389392 + ... + 297401008.

Almost surely, 2^{3454840038400} is an apocalyptic number.

3454840038400 is the 1858720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3454840038400

3454840038400 is an abundant number, since it is smaller than the sum of its proper divisors (5109716904899).

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

3454840038400 is an frugal number, since it uses more digits than its factorization.

3454840038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23264 (or 11624 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 43.

The spelling of 3454840038400 in words is "three trillion, four hundred fifty-four billion, eight hundred forty million, thirty-eight thousand, four hundred".