7338470400 has 330 divisors, whose sum is σ = 27181171380. Its totient is φ = 1956372480.

The previous prime is 7338470353. The next prime is 7338470407. The reversal of 7338470400 is 40748337.

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

It is not an unprimeable number, because it can be changed into a prime (7338470407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2071831 + ... + 2075369.

It is an arithmetic number, because the mean of its divisors is an integer number (82367186).

Almost surely, 2^7338470400 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 7338470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13590585690).

7338470400 is an abundant number, since it is smaller than the sum of its proper divisors (19842700980).

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

7338470400 is a wasteful number, since it uses less digits than its factorization.

7338470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3581 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 7338470400 is about 85664.8726141585. The cubic root of 7338470400 is about 1943.2791108509.

The spelling of 7338470400 in words is "seven billion, three hundred thirty-eight million, four hundred seventy thousand, four hundred".