7338920400 has 720 divisors, whose sum is σ = 31719826944. Its totient is φ = 1532805120.

The previous prime is 7338920359. The next prime is 7338920429. The reversal of 7338920400 is 40298337.

7338920400 is a `hidden beast` number, since 73 + 389 + 204 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15850569 + ... + 15851031.

Almost surely, 2^7338920400 is an apocalyptic number.

7338920400 is a gapful number since it is divisible by the number (70) 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 7338920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15859913472).

7338920400 is an abundant number, since it is smaller than the sum of its proper divisors (24380906544).

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

7338920400 is a wasteful number, since it uses less digits than its factorization.

7338920400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7338920400 is about 85667.4990880439. The cubic root of 7338920400 is about 1943.3188311050.

The spelling of 7338920400 in words is "seven billion, three hundred thirty-eight million, nine hundred twenty thousand, four hundred".