734635440 has 480 divisors, whose sum is σ = 3216222720. Its totient is φ = 152409600.

The previous prime is 734635439. The next prime is 734635471. The reversal of 734635440 is 44536437.

It is a happy number.

734635440 is a `hidden beast` number, since 73 + 46 + 3 + 544 + 0 = 666.

734635440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 734635395 and 734635404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1163925 + ... + 1164555.

It is an arithmetic number, because the mean of its divisors is an integer number (6700464).

Almost surely, 2^734635440 is an apocalyptic number.

734635440 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 734635440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608111360).

734635440 is an abundant number, since it is smaller than the sum of its proper divisors (2481587280).

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

734635440 is a wasteful number, since it uses less digits than its factorization.

734635440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 734635440 is about 27104.1590904422. The cubic root of 734635440 is about 902.3131607812.

The spelling of 734635440 in words is "seven hundred thirty-four million, six hundred thirty-five thousand, four hundred forty".