746341344 has 432 divisors, whose sum is σ = 2734043760. Its totient is φ = 197406720.

The previous prime is 746341331. The next prime is 746341363. The reversal of 746341344 is 443143647.

746341344 = 187³ + 188³ + ... + 254³.

746341344 is a `hidden beast` number, since 7 + 4 + 634 + 13 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (96768) is a multiple of the sum of its prime factors (128).

It is a junction number, because it is equal to n+sod(n) for n = 746341299 and 746341308.

It is a congruent number.

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, 12235074 + ... + 12235134.

It is an arithmetic number, because the mean of its divisors is an integer number (6328805).

Almost surely, 2^746341344 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 746341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367021880).

746341344 is an abundant number, since it is smaller than the sum of its proper divisors (1987702416).

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

746341344 is a wasteful number, since it uses less digits than its factorization.

746341344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 90 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 746341344 is about 27319.2485987444. The cubic root of 746341344 is about 907.0805055231.

The spelling of 746341344 in words is "seven hundred forty-six million, three hundred forty-one thousand, three hundred forty-four".