3072342000 has 640 divisors, whose sum is σ = 12947171328. Its totient is φ = 608256000.

The previous prime is 3072341981. The next prime is 3072342023. The reversal of 3072342000 is 2432703.

3072342000 = 9783² + 9784² + ... + 9814².

It is a happy number.

3072342000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9281835 + ... + 9282165.

Almost surely, 2^3072342000 is an apocalyptic number.

3072342000 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 3072342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6473585664).

3072342000 is an abundant number, since it is smaller than the sum of its proper divisors (9874829328).

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

3072342000 is a wasteful number, since it uses less digits than its factorization.

3072342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 3072342000 is about 55428.7109718420. The cubic root of 3072342000 is about 1453.7504180315.

Adding to 3072342000 its reverse (2432703), we get a palindrome (3074774703).

The spelling of 3072342000 in words is "three billion, seventy-two million, three hundred forty-two thousand".