3452461286400 has 1485 divisors, whose sum is σ = 14605680222861. Its totient is φ = 779144970240.

The previous prime is 3452461286387. The next prime is 3452461286401. The reversal of 3452461286400 is 46821642543.

The square root of 3452461286400 is 1858080.

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

3452461286400 is a `hidden beast` number, since 3 + 4 + 5 + 24 + 612 + 8 + 6 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1242886063104 + 2209575223296 = 1114848^2 + 1486464^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3452461286401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 43702041561 + ... + 43702041639.

Almost surely, 2^{3452461286400} is an apocalyptic number.

3452461286400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3452461286400 is the 1858080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3452461286400

3452461286400 is an abundant number, since it is smaller than the sum of its proper divisors (11153218936461).

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

3452461286400 is an frugal number, since it uses more digits than its factorization.

3452461286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 3452461286400 in words is "three trillion, four hundred fifty-two billion, four hundred sixty-one million, two hundred eighty-six thousand, four hundred".