3466854400 has 171 divisors, whose sum is σ = 8987852041. Its totient is φ = 1326448640.

The previous prime is 3466854397. The next prime is 3466854409. The reversal of 3466854400 is 44586643.

The square root of 3466854400 is 58880.

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., 1248067584 + 2218786816 = 35328^2 + 47104^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3466854409) 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, 150732789 + ... + 150732811.

Almost surely, 2^3466854400 is an apocalyptic number.

3466854400 is the 58880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3466854400

3466854400 is an abundant number, since it is smaller than the sum of its proper divisors (5520997641).

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

3466854400 is an frugal number, since it uses more digits than its factorization.

3466854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The cubic root of 3466854400 is about 1513.4864398172.

The spelling of 3466854400 in words is "three billion, four hundred sixty-six million, eight hundred fifty-four thousand, four hundred".