3461442000 has 160 divisors (see below), whose sum is σ = 11243816064. Its totient is φ = 916096000.

The previous prime is 3461441981. The next prime is 3461442053. The reversal of 3461442000 is 2441643.

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 31 ways as a sum of consecutive naturals, for example, 819895 + ... + 824105.

Almost surely, 2^3461442000 is an apocalyptic number.

3461442000 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 3461442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621908032).

3461442000 is an abundant number, since it is smaller than the sum of its proper divisors (7782374064).

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

3461442000 is a wasteful number, since it uses less digits than its factorization.

3461442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3461442000 is about 58834.0207702992. The cubic root of 3461442000 is about 1512.6984189751.

Adding to 3461442000 its reverse (2441643), we get a palindrome (3463883643).

The spelling of 3461442000 in words is "three billion, four hundred sixty-one million, four hundred forty-two thousand".