350397840 has 240 divisors, whose sum is σ = 1205762112. Its totient is φ = 84105216.

The previous prime is 350397823. The next prime is 350397871. The reversal of 350397840 is 48793053.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2149599 + ... + 2149761.

Almost surely, 2^350397840 is an apocalyptic number.

350397840 is a gapful number since it is divisible by the number (30) 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 350397840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602881056).

350397840 is an abundant number, since it is smaller than the sum of its proper divisors (855364272).

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

350397840 is a wasteful number, since it uses less digits than its factorization.

350397840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 350397840 is about 18718.9166353184. The cubic root of 350397840 is about 704.9967908913.

The spelling of 350397840 in words is "three hundred fifty million, three hundred ninety-seven thousand, eight hundred forty".