7354368 has 192 divisors, whose sum is σ = 26208000. Its totient is φ = 1990656.

The previous prime is 7354367. The next prime is 7354423. The reversal of 7354368 is 8634537.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a d-powerful number, because it can be written as 7⁷ + 3⁷ + 5 + 4⁸ + 3¹⁴ + 6⁸ + 8³ .

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7354367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387063 + ... + 387081.

It is an arithmetic number, because the mean of its divisors is an integer number (136500).

Almost surely, 2^7354368 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 7354368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13104000).

7354368 is an abundant number, since it is smaller than the sum of its proper divisors (18853632).

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

7354368 is a wasteful number, since it uses less digits than its factorization.

7354368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 31 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 7354368 is about 2711.8938032305. The cubic root of 7354368 is about 194.4681364571.

The spelling of 7354368 in words is "seven million, three hundred fifty-four thousand, three hundred sixty-eight".