3461161200 has 240 divisors, whose sum is σ = 12710662656. Its totient is φ = 788659200.

The previous prime is 3461161181. The next prime is 3461161243. The reversal of 3461161200 is 21611643.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5300074 + ... + 5300726.

Almost surely, 2^3461161200 is an apocalyptic number.

3461161200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3461161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6355331328).

3461161200 is an abundant number, since it is smaller than the sum of its proper divisors (9249501456).

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

3461161200 is a wasteful number, since it uses less digits than its factorization.

3461161200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3461161200 is about 58831.6343475175. The cubic root of 3461161200 is about 1512.6575133638.

Adding to 3461161200 its reverse (21611643), we get a palindrome (3482772843).

The spelling of 3461161200 in words is "three billion, four hundred sixty-one million, one hundred sixty-one thousand, two hundred".