7342106400 has 432 divisors, whose sum is σ = 26791488360. Its totient is φ = 1891123200.

The previous prime is 7342106389. The next prime is 7342106441. The reversal of 7342106400 is 46012437.

7342106400 is a `hidden beast` number, since 7 + 3 + 4 + 2 + 10 + 640 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 424524816 + 6917581584 = 20604^2 + 83172^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32061486 + ... + 32061714.

Almost surely, 2^7342106400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7342106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13395744180).

7342106400 is an abundant number, since it is smaller than the sum of its proper divisors (19449381960).

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

7342106400 is a wasteful number, since it uses less digits than its factorization.

7342106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 7342106400 is about 85686.0922203831. The cubic root of 7342106400 is about 1943.6000040717.

Adding to 7342106400 its reverse (46012437), we get a palindrome (7388118837).

The spelling of 7342106400 in words is "seven billion, three hundred forty-two million, one hundred six thousand, four hundred".