357834240 has 320 divisors, whose sum is σ = 1319915520. Its totient is φ = 91791360.

The previous prime is 357834223. The next prime is 357834283. The reversal of 357834240 is 42438753.

It is a happy number.

357834240 is a `hidden beast` number, since 3 + 578 + 3 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×357834240³ (a number of 27 digits) contains 333 as substring.

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 = 357834195 and 357834204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2142637 + ... + 2142803.

It is an arithmetic number, because the mean of its divisors is an integer number (4124736).

Almost surely, 2^357834240 is an apocalyptic number.

357834240 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 357834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659957760).

357834240 is an abundant number, since it is smaller than the sum of its proper divisors (962081280).

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

357834240 is a wasteful number, since it uses less digits than its factorization.

357834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 357834240 is about 18916.5070771535. The cubic root of 357834240 is about 709.9492392461.

The spelling of 357834240 in words is "three hundred fifty-seven million, eight hundred thirty-four thousand, two hundred forty".