3092342400 has 384 divisors, whose sum is σ = 12936374400. Its totient is φ = 706682880.

The previous prime is 3092342389. The next prime is 3092342417. The reversal of 3092342400 is 42432903.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 602244 + ... + 607356.

It is an arithmetic number, because the mean of its divisors is an integer number (33688475).

Almost surely, 2^3092342400 is an apocalyptic number.

3092342400 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 3092342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6468187200).

3092342400 is an abundant number, since it is smaller than the sum of its proper divisors (9844032000).

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

3092342400 is a wasteful number, since it uses less digits than its factorization.

3092342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5153 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3092342400 is about 55608.8338306064. The cubic root of 3092342400 is about 1456.8981497127.

The spelling of 3092342400 in words is "three billion, ninety-two million, three hundred forty-two thousand, four hundred".