3461385830400 has 2025 divisors, whose sum is σ = 14376298991439. Its totient is φ = 823016816640.

The previous prime is 3461385830387. The next prime is 3461385830437. The reversal of 3461385830400 is 40385831643.

The square root of 3461385830400 is 1860480.

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

3461385830400 is a `hidden beast` number, since 3 + 4 + 61 + 3 + 8 + 583 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 80965287936 + 3380420542464 = 284544^2 + 1838592^2 .

It is a tau number, because it is divible by the number of its divisors (2025).

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 182178201591 + ... + 182178201609.

Almost surely, 2^{3461385830400} is an apocalyptic number.

3461385830400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3461385830400 is the 1860480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3461385830400

3461385830400 is an abundant number, since it is smaller than the sum of its proper divisors (10914913161039).

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

3461385830400 is an equidigital number, since it uses as much as digits as its factorization.

3461385830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3461385830400 in words is "three trillion, four hundred sixty-one billion, three hundred eighty-five million, eight hundred thirty thousand, four hundred".